3101630400 has 672 divisors, whose sum is σ = 12653832960. Its totient is φ = 732672000.

The previous prime is 3101630381. The next prime is 3101630407. The reversal of 3101630400 is 40361013.

3101630400 is a `hidden beast` number, since 31 + 0 + 1 + 630 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×3101630400² = 19240222276408320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101630407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28987147 + ... + 28987253.

Almost surely, 2^3101630400 is an apocalyptic number.

3101630400 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 3101630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326916480).

3101630400 is an abundant number, since it is smaller than the sum of its proper divisors (9552202560).

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

3101630400 is a wasteful number, since it uses less digits than its factorization.

3101630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3101630400 is about 55692.2831279164. The cubic root of 3101630400 is about 1458.3553131562.

Adding to 3101630400 its reverse (40361013), we get a palindrome (3141991413).

It can be divided in two parts, 31016 and 30400, that added together give a palindrome (61416).

The spelling of 3101630400 in words is "three billion, one hundred one million, six hundred thirty thousand, four hundred".