3679685475840 has 480 divisors, whose sum is σ = 14241432677472. Its totient is φ = 870285312000.

The previous prime is 3679685475833. The next prime is 3679685475871. The reversal of 3679685475840 is 485745869763.

3679685475840 is a `hidden beast` number, since 3 + 6 + 79 + 6 + 8 + 5 + 475 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3679685475840² (a number of 26 digits) contains 22 as substring.

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

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, 10213980 + ... + 10568100.

Almost surely, 2^{3679685475840} is an apocalyptic number.

3679685475840 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 3679685475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120716338736).

3679685475840 is an abundant number, since it is smaller than the sum of its proper divisors (10561747201632).

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

3679685475840 is a wasteful number, since it uses less digits than its factorization.

3679685475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354202 (or 354183 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 3679685475840 in words is "three trillion, six hundred seventy-nine billion, six hundred eighty-five million, four hundred seventy-five thousand, eight hundred forty".