3730873208832 has 1560 divisors, whose sum is σ = 14621376920832. Its totient is φ = 936404582400.

The previous prime is 3730873208809. The next prime is 3730873208851. The reversal of 3730873208832 is 2388023780373.

3730873208832 is a `hidden beast` number, since 3 + 7 + 308 + 7 + 320 + 8 + 8 + 3 + 2 = 666.

It is a super-4 number, since 4×3730873208832⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5543644848 + ... + 5543645520.

Almost surely, 2^{3730873208832} is an apocalyptic number.

3730873208832 is a gapful number since it is divisible by the number (32) 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 3730873208832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310688460416).

3730873208832 is an abundant number, since it is smaller than the sum of its proper divisors (10890503712000).

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

3730873208832 is a wasteful number, since it uses less digits than its factorization.

3730873208832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3730873208832 in words is "three trillion, seven hundred thirty billion, eight hundred seventy-three million, two hundred eight thousand, eight hundred thirty-two".