3763568640 has 512 divisors, whose sum is σ = 14092646400. Its totient is φ = 849346560.

The previous prime is 3763568563. The next prime is 3763568687. The reversal of 3763568640 is 468653673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3763568640.

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, 121405425 + ... + 121405455.

It is an arithmetic number, because the mean of its divisors is an integer number (27524700).

Almost surely, 2^3763568640 is an apocalyptic number.

3763568640 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 3763568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046323200).

3763568640 is an abundant number, since it is smaller than the sum of its proper divisors (10329077760).

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

3763568640 is a wasteful number, since it uses less digits than its factorization.

3763568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The square root of 3763568640 is about 61347.9310164573. The cubic root of 3763568640 is about 1555.4878161281.

The spelling of 3763568640 in words is "three billion, seven hundred sixty-three million, five hundred sixty-eight thousand, six hundred forty".