3764640000 has 720 divisors, whose sum is σ = 14712090624. Its totient is φ = 844800000.

The previous prime is 3764639947. The next prime is 3764640001. The reversal of 3764640000 is 464673.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3764640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3764640001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121439985 + ... + 121440015.

Almost surely, 2^3764640000 is an apocalyptic number.

3764640000 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 3764640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7356045312).

3764640000 is an abundant number, since it is smaller than the sum of its proper divisors (10947450624).

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

3764640000 is a wasteful number, since it uses less digits than its factorization.

3764640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3764640000 is about 61356.6622299486. The cubic root of 3764640000 is about 1555.6354002856.

The spelling of 3764640000 in words is "three billion, seven hundred sixty-four million, six hundred forty thousand".