3699315476640 has 2304 divisors, whose sum is σ = 16366271201280. Its totient is φ = 770339082240.

The previous prime is 3699315476603. The next prime is 3699315476651. The reversal of 3699315476640 is 466745139963.

3699315476640 is a `hidden beast` number, since 3 + 6 + 9 + 93 + 15 + 476 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28239049375 + ... + 28239049505.

It is an arithmetic number, because the mean of its divisors is an integer number (7103416320).

Almost surely, 2^{3699315476640} is an apocalyptic number.

3699315476640 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 3699315476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183135600640).

3699315476640 is an abundant number, since it is smaller than the sum of its proper divisors (12666955724640).

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

3699315476640 is a wasteful number, since it uses less digits than its factorization.

3699315476640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 3699315476640 in words is "three trillion, six hundred ninety-nine billion, three hundred fifteen million, four hundred seventy-six thousand, six hundred forty".