3790765440 has 1152 divisors, whose sum is σ = 17630373600. Its totient is φ = 766402560.

The previous prime is 3790765423. The next prime is 3790765453. The reversal of 3790765440 is 445670973.

3790765440 is a `hidden beast` number, since 37 + 9 + 0 + 76 + 544 + 0 = 666.

3790765440 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 (1152).

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 143 ways as a sum of consecutive naturals, for example, 102453102 + ... + 102453138.

Almost surely, 2^3790765440 is an apocalyptic number.

3790765440 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 3790765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815186800).

3790765440 is an abundant number, since it is smaller than the sum of its proper divisors (13839608160).

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

3790765440 is a wasteful number, since it uses less digits than its factorization.

3790765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3790765440 is about 61569.1922961476. The cubic root of 3790765440 is about 1559.2256511973.

The spelling of 3790765440 in words is "three billion, seven hundred ninety million, seven hundred sixty-five thousand, four hundred forty".