3857577733152 has 2304 divisors, whose sum is σ = 14895046656000. Its totient is φ = 960740352000.

The previous prime is 3857577733117. The next prime is 3857577733181. The reversal of 3857577733152 is 2513377757583.

It is a happy number.

3857577733152 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 577 + 7 + 3 + 3 + 1 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3857577733152.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48830097849 + ... + 48830097927.

It is an arithmetic number, because the mean of its divisors is an integer number (6464864000).

Almost surely, 2^{3857577733152} is an apocalyptic number.

3857577733152 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 3857577733152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447523328000).

3857577733152 is an abundant number, since it is smaller than the sum of its proper divisors (11037468922848).

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

3857577733152 is a wasteful number, since it uses less digits than its factorization.

3857577733152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its digits is 129654000, while the sum is 63.

The spelling of 3857577733152 in words is "three trillion, eight hundred fifty-seven billion, five hundred seventy-seven million, seven hundred thirty-three thousand, one hundred fifty-two".