3698697392640 has 320 divisors, whose sum is σ = 13232634307200. Its totient is φ = 979220938752.

The previous prime is 3698697392633. The next prime is 3698697392641. The reversal of 3698697392640 is 462937968963.

3698697392640 is a `hidden beast` number, since 3 + 6 + 98 + 6 + 97 + 392 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3698697392641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9415194 + ... + 9800166.

It is an arithmetic number, because the mean of its divisors is an integer number (41351982210).

Almost surely, 2^{3698697392640} is an apocalyptic number.

3698697392640 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 3698697392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616317153600).

3698697392640 is an abundant number, since it is smaller than the sum of its proper divisors (9533936914560).

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

3698697392640 is a wasteful number, since it uses less digits than its factorization.

3698697392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385144 (or 385122 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 3698697392640 in words is "three trillion, six hundred ninety-eight billion, six hundred ninety-seven million, three hundred ninety-two thousand, six hundred forty".