3793106900 has 72 divisors (see below), whose sum is σ = 9002340480. Its totient is φ = 1375776000.

The previous prime is 3793106899. The next prime is 3793106981. The reversal of 3793106900 is 96013973.

3793106900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3793106900² = 28775319909655220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) 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 23 ways as a sum of consecutive naturals, for example, 445685 + ... + 454115.

Almost surely, 2^3793106900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3793106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501170240).

3793106900 is an abundant number, since it is smaller than the sum of its proper divisors (5209233580).

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

3793106900 is a wasteful number, since it uses less digits than its factorization.

3793106900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 38.

The square root of 3793106900 is about 61588.2042277578. The cubic root of 3793106900 is about 1559.5466165473.

The spelling of 3793106900 in words is "three billion, seven hundred ninety-three million, one hundred six thousand, nine hundred".