336134400 has 432 divisors, whose sum is σ = 1319998848. Its totient is φ = 73728000.

The previous prime is 336134371. The next prime is 336134417. The reversal of 336134400 is 4431633.

It is a super-2 number, since 2×336134400² = 225972669726720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5510370 + ... + 5510430.

Almost surely, 2^336134400 is an apocalyptic number.

336134400 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 336134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659999424).

336134400 is an abundant number, since it is smaller than the sum of its proper divisors (983864448).

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

336134400 is a wasteful number, since it uses less digits than its factorization.

336134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 336134400 is about 18333.9684738466. The cubic root of 336134400 is about 695.2980106647.

It can be divided in two parts, 336 and 134400, that multiplied together give a square (45158400 = 6720²).

The spelling of 336134400 in words is "three hundred thirty-six million, one hundred thirty-four thousand, four hundred".