3134476400 has 120 divisors (see below), whose sum is σ = 8406735744. Its totient is φ = 1113235200.

The previous prime is 3134476393. The next prime is 3134476427. The reversal of 3134476400 is 46744313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180917 + ... + 197483.

Almost surely, 2^3134476400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203367872).

3134476400 is an abundant number, since it is smaller than the sum of its proper divisors (5272259344).

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

3134476400 is a wasteful number, since it uses less digits than its factorization.

3134476400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16639 (or 16628 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 3134476400 is about 55986.3947758739. The cubic root of 3134476400 is about 1463.4851997689.

The spelling of 3134476400 in words is "three billion, one hundred thirty-four million, four hundred seventy-six thousand, four hundred".