3668953190400 has 1404 divisors, whose sum is σ = 14073447511552. Its totient is φ = 948109639680.

The previous prime is 3668953190377. The next prime is 3668953190467. The reversal of 3668953190400 is 40913598663.

3668953190400 is a `hidden beast` number, since 3 + 6 + 68 + 9 + 531 + 9 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×3668953190400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28889395137 + ... + 28889395263.

Almost surely, 2^{3668953190400} is an apocalyptic number.

3668953190400 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 3668953190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036723755776).

3668953190400 is an abundant number, since it is smaller than the sum of its proper divisors (10404494321152).

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

3668953190400 is an frugal number, since it uses more digits than its factorization.

3668953190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 3668953190400 in words is "three trillion, six hundred sixty-eight billion, nine hundred fifty-three million, one hundred ninety thousand, four hundred".