3721557312 has 420 divisors, whose sum is σ = 12876009300. Its totient is φ = 1058365440.

The previous prime is 3721557311. The next prime is 3721557319. The reversal of 3721557312 is 2137551273.

It is a happy number.

3721557312 is a `hidden beast` number, since 3 + 72 + 1 + 5 + 573 + 12 = 666.

3721557312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2815788096 + 905769216 = 53064^2 + 30096^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3721557311) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10663314 + ... + 10663662.

It is an arithmetic number, because the mean of its divisors is an integer number (30657165).

Almost surely, 2^3721557312 is an apocalyptic number.

3721557312 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 3721557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438004650).

3721557312 is an abundant number, since it is smaller than the sum of its proper divisors (9154451988).

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

3721557312 is a wasteful number, since it uses less digits than its factorization.

3721557312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 382 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 3721557312 is about 61004.5679601126. The cubic root of 3721557312 is about 1549.6783671178.

The spelling of 3721557312 in words is "three billion, seven hundred twenty-one million, five hundred fifty-seven thousand, three hundred twelve".