3722961312 has 384 divisors, whose sum is σ = 12943687680. Its totient is φ = 1018967040.

The previous prime is 3722961311. The next prime is 3722961313. The reversal of 3722961312 is 2131692273.

3722961312 is a `hidden beast` number, since 3 + 7 + 2 + 29 + 613 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (3722961311) and next prime (3722961313).

It is a super-2 number, since 2×3722961312² = 27720881861297522688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3722961311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28419487 + ... + 28419617.

It is an arithmetic number, because the mean of its divisors is an integer number (33707520).

Almost surely, 2^3722961312 is an apocalyptic number.

3722961312 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 3722961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471843840).

3722961312 is an abundant number, since it is smaller than the sum of its proper divisors (9220726368).

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

3722961312 is a wasteful number, since it uses less digits than its factorization.

3722961312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3722961312 is about 61016.0742099981. The cubic root of 3722961312 is about 1549.8732205706.

It can be divided in two parts, 3722961 and 312, that added together give a palindrome (3723273).

The spelling of 3722961312 in words is "three billion, seven hundred twenty-two million, nine hundred sixty-one thousand, three hundred twelve".