3786264900 has 216 divisors, whose sum is σ = 13628815200. Its totient is φ = 869529600.

The previous prime is 3786264877. The next prime is 3786264913. The reversal of 3786264900 is 94626873.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 178036 + ... + 198164.

Almost surely, 2^3786264900 is an apocalyptic number.

3786264900 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 3786264900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814407600).

3786264900 is an abundant number, since it is smaller than the sum of its proper divisors (9842550300).

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

3786264900 is a wasteful number, since it uses less digits than its factorization.

3786264900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20179 (or 20169 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3786264900 is about 61532.6328056910. The cubic root of 3786264900 is about 1558.6083496305.

The spelling of 3786264900 in words is "three billion, seven hundred eighty-six million, two hundred sixty-four thousand, nine hundred".