3807397440 has 896 divisors, whose sum is σ = 17205350400. Its totient is φ = 769720320.

The previous prime is 3807397397. The next prime is 3807397453. The reversal of 3807397440 is 447937083.

It is a happy number.

It is a super-2 number, since 2×3807397440² = 28992550532237107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39251472 + ... + 39251568.

It is an arithmetic number, because the mean of its divisors is an integer number (19202400).

Almost surely, 2^3807397440 is an apocalyptic number.

3807397440 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 3807397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602675200).

3807397440 is an abundant number, since it is smaller than the sum of its proper divisors (13397952960).

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

3807397440 is a wasteful number, since it uses less digits than its factorization.

3807397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3807397440 is about 61704.1120185681. The cubic root of 3807397440 is about 1561.5026940538.

The spelling of 3807397440 in words is "three billion, eight hundred seven million, three hundred ninety-seven thousand, four hundred forty".