3764946900 has 576 divisors, whose sum is σ = 13999104000. Its totient is φ = 767232000.

The previous prime is 3764946853. The next prime is 3764946907. The reversal of 3764946900 is 96494673.

It is a super-2 number, since 2×3764946900² = 28349650319639220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3764946900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3764946907) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25268026 + ... + 25268174.

It is an arithmetic number, because the mean of its divisors is an integer number (24304000).

Almost surely, 2^3764946900 is an apocalyptic number.

3764946900 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 3764946900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552000).

3764946900 is an abundant number, since it is smaller than the sum of its proper divisors (10234157100).

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

3764946900 is a wasteful number, since it uses less digits than its factorization.

3764946900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 3764946900 is about 61359.1631298863. The cubic root of 3764946900 is about 1555.6776718380.

The spelling of 3764946900 in words is "three billion, seven hundred sixty-four million, nine hundred forty-six thousand, nine hundred".