3121777152 has 320 divisors, whose sum is σ = 10311840000. Its totient is φ = 925876224.

The previous prime is 3121777111. The next prime is 3121777157. The reversal of 3121777152 is 2517771213.

It is a happy number.

It is a super-2 number, since 2×3121777152² = 19490985173498462208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3121777157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5211349 + ... + 5211947.

It is an arithmetic number, because the mean of its divisors is an integer number (32224500).

Almost surely, 2^3121777152 is an apocalyptic number.

3121777152 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 3121777152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920000).

3121777152 is an abundant number, since it is smaller than the sum of its proper divisors (7190062848).

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

3121777152 is a wasteful number, since it uses less digits than its factorization.

3121777152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 646 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 3121777152 is about 55872.8659726705. The cubic root of 3121777152 is about 1461.5061007782.

The spelling of 3121777152 in words is "three billion, one hundred twenty-one million, seven hundred seventy-seven thousand, one hundred fifty-two".