3764980500 has 96 divisors (see below), whose sum is σ = 11019590400. Its totient is φ = 998870400.

The previous prime is 3764980493. The next prime is 3764980517. The reversal of 3764980500 is 50894673.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 292194 + ... + 304806.

It is an arithmetic number, because the mean of its divisors is an integer number (114787400).

Almost surely, 2^3764980500 is an apocalyptic number.

3764980500 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 3764980500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509795200).

3764980500 is an abundant number, since it is smaller than the sum of its proper divisors (7254609900).

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

3764980500 is a wasteful number, since it uses less digits than its factorization.

3764980500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12834 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3764980500 is about 61359.4369270123. The cubic root of 3764980500 is about 1555.6822996690.

The spelling of 3764980500 in words is "three billion, seven hundred sixty-four million, nine hundred eighty thousand, five hundred".