34700400 has 420 divisors, whose sum is σ = 151253712. Its totient is φ = 7464960.

The previous prime is 34700381. The next prime is 34700401. The reversal of 34700400 is 400743.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34700401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2041192 + ... + 2041208.

Almost surely, 2^34700400 is an apocalyptic number.

34700400 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 34700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75626856).

34700400 is an abundant number, since it is smaller than the sum of its proper divisors (116553312).

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

34700400 is a wasteful number, since it uses less digits than its factorization.

34700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 34700400 is about 5890.7045419033. The cubic root of 34700400 is about 326.1706108853.

The spelling of 34700400 in words is "thirty-four million, seven hundred thousand, four hundred".