3807133440 has 288 divisors, whose sum is σ = 13361677056. Its totient is φ = 916193280.

The previous prime is 3807133423. The next prime is 3807133487. The reversal of 3807133440 is 443317083.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8152087 + ... + 8152553.

It is an arithmetic number, because the mean of its divisors is an integer number (46394712).

Almost surely, 2^3807133440 is an apocalyptic number.

3807133440 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 3807133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680838528).

3807133440 is an abundant number, since it is smaller than the sum of its proper divisors (9554543616).

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

3807133440 is a wasteful number, since it uses less digits than its factorization.

3807133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3807133440 is about 61701.9727399376. The cubic root of 3807133440 is about 1561.4666023625.

The spelling of 3807133440 in words is "three billion, eight hundred seven million, one hundred thirty-three thousand, four hundred forty".