3698788055040 has 576 divisors, whose sum is σ = 13850409736800. Its totient is φ = 907505565696.

The previous prime is 3698788055021. The next prime is 3698788055093. The reversal of 3698788055040 is 405508878963.

3698788055040 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 78 + 8 + 0 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3698788055040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379786491 + ... + 379796229.

Almost surely, 2^{3698788055040} is an apocalyptic number.

3698788055040 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 3698788055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925204868400).

3698788055040 is an abundant number, since it is smaller than the sum of its proper divisors (10151621681760).

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

3698788055040 is a wasteful number, since it uses less digits than its factorization.

3698788055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10102 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 3698788055040 in words is "three trillion, six hundred ninety-eight billion, seven hundred eighty-eight million, fifty-five thousand, forty".