3731463832320 has 2016 divisors, whose sum is σ = 16329961428480. Its totient is φ = 797616046080.

The previous prime is 3731463832307. The next prime is 3731463832331. The reversal of 3731463832320 is 232383641373.

It is a happy number.

3731463832320 is a `hidden beast` number, since 3 + 7 + 3 + 1 + 4 + 638 + 3 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×3731463832320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13279230580 + ... + 13279230860.

It is an arithmetic number, because the mean of its divisors is an integer number (8100179280).

Almost surely, 2^{3731463832320} is an apocalyptic number.

3731463832320 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 3731463832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164980714240).

3731463832320 is an abundant number, since it is smaller than the sum of its proper divisors (12598497596160).

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

3731463832320 is a wasteful number, since it uses less digits than its factorization.

3731463832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 3731463832320 in words is "three trillion, seven hundred thirty-one billion, four hundred sixty-three million, eight hundred thirty-two thousand, three hundred twenty".