3100400640 has 264 divisors, whose sum is σ = 10928818368. Its totient is φ = 812482560.

The previous prime is 3100400629. The next prime is 3100400647. The reversal of 3100400640 is 460040013.

It is a super-2 number, since 2×3100400640² = 19224968257024819200, 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 (3100400647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2810329 + ... + 2811431.

Almost surely, 2^3100400640 is an apocalyptic number.

3100400640 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 3100400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464409184).

3100400640 is an abundant number, since it is smaller than the sum of its proper divisors (7828417728).

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

3100400640 is a wasteful number, since it uses less digits than its factorization.

3100400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3100400640 is about 55681.2413654724. The cubic root of 3100400640 is about 1458.1625474304.

Adding to 3100400640 its reverse (460040013), we get a palindrome (3560440653).

The spelling of 3100400640 in words is "three billion, one hundred million, four hundred thousand, six hundred forty".