34676400 has 240 divisors, whose sum is σ = 126206208. Its totient is φ = 8064000.

The previous prime is 34676393. The next prime is 34676407. The reversal of 34676400 is 467643.

It is an interprime number because it is at equal distance from previous prime (34676393) and next prime (34676407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (34676407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488365 + ... + 488435.

Almost surely, 2^34676400 is an apocalyptic number.

34676400 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 34676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63103104).

34676400 is an abundant number, since it is smaller than the sum of its proper divisors (91529808).

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

34676400 is a wasteful number, since it uses less digits than its factorization.

34676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 34676400 is about 5888.6670817767. The cubic root of 34676400 is about 326.0953965738.

The spelling of 34676400 in words is "thirty-four million, six hundred seventy-six thousand, four hundred".