3718667687400 has 288 divisors, whose sum is σ = 13041879552000. Its totient is φ = 947774615040.

The previous prime is 3718667687359. The next prime is 3718667687407. The reversal of 3718667687400 is 47867668173.

It is a happy number.

3718667687400 is a `hidden beast` number, since 3 + 7 + 1 + 86 + 6 + 76 + 87 + 400 = 666.

It is a super-5 number, since 5×3718667687400⁵ (a number of 64 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (3718667687407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52915486 + ... + 52985714.

It is an arithmetic number, because the mean of its divisors is an integer number (45284304000).

Almost surely, 2^{3718667687400} is an apocalyptic number.

3718667687400 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 3718667687400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520939776000).

3718667687400 is an abundant number, since it is smaller than the sum of its proper divisors (9323211864600).

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

3718667687400 is a wasteful number, since it uses less digits than its factorization.

3718667687400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71553 (or 71541 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 3718667687400 in words is "three trillion, seven hundred eighteen billion, six hundred sixty-seven million, six hundred eighty-seven thousand, four hundred".