3787878832920 has 1152 divisors, whose sum is σ = 16387262236800. Its totient is φ = 737994571776.

The previous prime is 3787878832853. The next prime is 3787878832961. The reversal of 3787878832920 is 292388787873.

3787878832920 is a `hidden beast` number, since 378 + 78 + 78 + 8 + 32 + 92 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 502567392 + ... + 502574928.

It is an arithmetic number, because the mean of its divisors is an integer number (14225054025).

Almost surely, 2^{3787878832920} is an apocalyptic number.

3787878832920 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 3787878832920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193631118400).

3787878832920 is an abundant number, since it is smaller than the sum of its proper divisors (12599383403880).

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

3787878832920 is a wasteful number, since it uses less digits than its factorization.

3787878832920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 3787878832920 in words is "three trillion, seven hundred eighty-seven billion, eight hundred seventy-eight million, eight hundred thirty-two thousand, nine hundred twenty".