34474982400 has 264 divisors, whose sum is σ = 126604329840. Its totient is φ = 9193144320.

The previous prime is 34474982369. The next prime is 34474982407. The reversal of 34474982400 is 428947443.

It is a super-2 number, since 2×34474982400² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34474982407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666262 + ... + 716138.

Almost surely, 2^34474982400 is an apocalyptic number.

34474982400 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 34474982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63302164920).

34474982400 is an abundant number, since it is smaller than the sum of its proper divisors (92129347440).

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

34474982400 is a wasteful number, since it uses less digits than its factorization.

34474982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49916 (or 49887 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 34474982400 in words is "thirty-four billion, four hundred seventy-four million, nine hundred eighty-two thousand, four hundred".