3816037440 has 224 divisors, whose sum is σ = 13506053760. Its totient is φ = 1014294528.

The previous prime is 3816037397. The next prime is 3816037457. The reversal of 3816037440 is 447306183.

3816037440 is a `hidden beast` number, since 3 + 8 + 1 + 603 + 7 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3816037395 and 3816037404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3827022 + ... + 3828018.

Almost surely, 2^3816037440 is an apocalyptic number.

3816037440 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 3816037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753026880).

3816037440 is an abundant number, since it is smaller than the sum of its proper divisors (9690016320).

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

3816037440 is a wasteful number, since it uses less digits than its factorization.

3816037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3816037440 is about 61774.0838863678. The cubic root of 3816037440 is about 1562.6829570509.

The spelling of 3816037440 in words is "three billion, eight hundred sixteen million, thirty-seven thousand, four hundred forty".