3787287408 has 160 divisors (see below), whose sum is σ = 11145120000. Its totient is φ = 1230951168.

The previous prime is 3787287379. The next prime is 3787287481. The reversal of 3787287408 is 8047827873.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3542298 + ... + 3543366.

It is an arithmetic number, because the mean of its divisors is an integer number (69657000).

Almost surely, 2^3787287408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3787287408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572560000).

3787287408 is an abundant number, since it is smaller than the sum of its proper divisors (7357832592).

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

3787287408 is a wasteful number, since it uses less digits than its factorization.

3787287408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The square root of 3787287408 is about 61540.9409092841. The cubic root of 3787287408 is about 1558.7486414579.

The spelling of 3787287408 in words is "three billion, seven hundred eighty-seven million, two hundred eighty-seven thousand, four hundred eight".