3806150400 has 972 divisors, whose sum is σ = 16280239248. Its totient is φ = 843448320.

The previous prime is 3806150371. The next prime is 3806150441. The reversal of 3806150400 is 40516083.

3806150400 is a `hidden beast` number, since 3 + 8 + 0 + 615 + 0 + 40 + 0 = 666.

3806150400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) 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 107 ways as a sum of consecutive naturals, for example, 165484789 + ... + 165484811.

Almost surely, 2^3806150400 is an apocalyptic number.

3806150400 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 3806150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140119624).

3806150400 is an abundant number, since it is smaller than the sum of its proper divisors (12474088848).

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

3806150400 is a wasteful number, since it uses less digits than its factorization.

3806150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3806150400 is about 61694.0061918498. The cubic root of 3806150400 is about 1561.3321953528.

Adding to 3806150400 its reverse (40516083), we get a palindrome (3846666483).

The spelling of 3806150400 in words is "three billion, eight hundred six million, one hundred fifty thousand, four hundred".