3629372549040 has 1280 divisors, whose sum is σ = 15644255846400. Its totient is φ = 755180236800.

The previous prime is 3629372549029. The next prime is 3629372549081. The reversal of 3629372549040 is 409452739263.

3629372549040 is a `hidden beast` number, since 3 + 6 + 2 + 93 + 7 + 2 + 549 + 0 + 4 + 0 = 666.

3629372549040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 657611401 + ... + 657616919.

It is an arithmetic number, because the mean of its divisors is an integer number (12222074880).

Almost surely, 2^{3629372549040} is an apocalyptic number.

3629372549040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3629372549040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7822127923200).

3629372549040 is an abundant number, since it is smaller than the sum of its proper divisors (12014883297360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3629372549040 is a wasteful number, since it uses less digits than its factorization.

3629372549040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3629372549040 in words is "three trillion, six hundred twenty-nine billion, three hundred seventy-two million, five hundred forty-nine thousand, forty".