3461213747040 has 768 divisors, whose sum is σ = 12810610391040. Its totient is φ = 769322188800.

The previous prime is 3461213747029. The next prime is 3461213747071. The reversal of 3461213747040 is 407473121643.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3461213746983 and 3461213747001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5067662539 + ... + 5067663221.

It is an arithmetic number, because the mean of its divisors is an integer number (16680482280).

Almost surely, 2^{3461213747040} is an apocalyptic number.

3461213747040 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 3461213747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405305195520).

3461213747040 is an abundant number, since it is smaller than the sum of its proper divisors (9349396644000).

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

3461213747040 is a wasteful number, since it uses less digits than its factorization.

3461213747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

Adding to 3461213747040 its reverse (407473121643), we get a palindrome (3868686868683).

The spelling of 3461213747040 in words is "three trillion, four hundred sixty-one billion, two hundred thirteen million, seven hundred forty-seven thousand, forty".