3775246440 has 256 divisors, whose sum is σ = 13758750720. Its totient is φ = 808980480.

The previous prime is 3775246429. The next prime is 3775246459. The reversal of 3775246440 is 446425773.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3775246392 and 3775246401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6611355 + ... + 6611925.

It is an arithmetic number, because the mean of its divisors is an integer number (53745120).

Almost surely, 2^3775246440 is an apocalyptic number.

3775246440 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 3775246440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879375360).

3775246440 is an abundant number, since it is smaller than the sum of its proper divisors (9983504280).

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

3775246440 is a wasteful number, since it uses less digits than its factorization.

3775246440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The square root of 3775246440 is about 61443.0341047706. The cubic root of 3775246440 is about 1557.0949716618.

The spelling of 3775246440 in words is "three billion, seven hundred seventy-five million, two hundred forty-six thousand, four hundred forty".