3857604721920 has 1152 divisors, whose sum is σ = 14582877120000. Its totient is φ = 964100358144.

The previous prime is 3857604721871. The next prime is 3857604721921. The reversal of 3857604721920 is 291274067583.

It is a happy number.

3857604721920 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 604 + 7 + 2 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3857604721920² (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 not an unprimeable number, because it can be changed into a prime (3857604721921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5262761874 + ... + 5262762606.

It is an arithmetic number, because the mean of its divisors is an integer number (12658747500).

It is a 1-persistent number, because it is pandigital, but 2⋅3857604721920 = 7715209443840 is not.

Almost surely, 2^{3857604721920} is an apocalyptic number.

3857604721920 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 3857604721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291438560000).

3857604721920 is an abundant number, since it is smaller than the sum of its proper divisors (10725272398080).

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

3857604721920 is a wasteful number, since it uses less digits than its factorization.

3857604721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3857604721920 in words is "three trillion, eight hundred fifty-seven billion, six hundred four million, seven hundred twenty-one thousand, nine hundred twenty".