3739408318464 has 960 divisors, whose sum is σ = 12942488961024. Its totient is φ = 933346934784.

The previous prime is 3739408318447. The next prime is 3739408318483. The reversal of 3739408318464 is 4648138049373.

It is a junction number, because it is equal to n+sod(n) for n = 3739408318398 and 3739408318407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16768647057 + ... + 16768647279.

Almost surely, 2^{3739408318464} 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 3739408318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471244480512).

3739408318464 is an abundant number, since it is smaller than the sum of its proper divisors (9203080642560).

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

3739408318464 is a wasteful number, since it uses less digits than its factorization.

3739408318464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 3739408318464 in words is "three trillion, seven hundred thirty-nine billion, four hundred eight million, three hundred eighteen thousand, four hundred sixty-four".