30326990400 has 1008 divisors, whose sum is σ = 130813722624. Its totient is φ = 6514421760.

The previous prime is 30326990383. The next prime is 30326990411. The reversal of 30326990400 is 409962303.

It is a happy number.

30326990400 is a `hidden beast` number, since 303 + 269 + 90 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 238795137 + ... + 238795263.

Almost surely, 2^30326990400 is an apocalyptic number.

30326990400 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 30326990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65406861312).

30326990400 is an abundant number, since it is smaller than the sum of its proper divisors (100486732224).

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

30326990400 is a wasteful number, since it uses less digits than its factorization.

30326990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 30326990400 in words is "thirty billion, three hundred twenty-six million, nine hundred ninety thousand, four hundred".