3775910640 has 120 divisors (see below), whose sum is σ = 11876312784. Its totient is φ = 992409600.

The previous prime is 3775910627. The next prime is 3775910651. The reversal of 3775910640 is 460195773.

3775910640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3775910640² = 28515002322530419200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3775910592 and 3775910601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1208280 + ... + 1211400.

Almost surely, 2^3775910640 is an apocalyptic number.

3775910640 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 3775910640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938156392).

3775910640 is an abundant number, since it is smaller than the sum of its proper divisors (8100402144).

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

3775910640 is a wasteful number, since it uses less digits than its factorization.

3775910640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 3775910640 is about 61448.4388735792. The cubic root of 3775910640 is about 1557.1862824191.

The spelling of 3775910640 in words is "three billion, seven hundred seventy-five million, nine hundred ten thousand, six hundred forty".