3764688840 has 320 divisors, whose sum is σ = 14002623360. Its totient is φ = 899527680.

The previous prime is 3764688833. The next prime is 3764688869. The reversal of 3764688840 is 488864673.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2600997 + ... + 2602443.

It is an arithmetic number, because the mean of its divisors is an integer number (43758198).

Almost surely, 2^3764688840 is an apocalyptic number.

3764688840 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 3764688840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001311680).

3764688840 is an abundant number, since it is smaller than the sum of its proper divisors (10237934520).

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

3764688840 is a wasteful number, since it uses less digits than its factorization.

3764688840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 3764688840 is about 61357.0602294471. The cubic root of 3764688840 is about 1555.6421275250.

The spelling of 3764688840 in words is "three billion, seven hundred sixty-four million, six hundred eighty-eight thousand, eight hundred forty".