3170480400 has 240 divisors, whose sum is σ = 11360096320. Its totient is φ = 839808000.

The previous prime is 3170480387. The next prime is 3170480407. The reversal of 3170480400 is 40840713.

3170480400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3170480407) 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, 1759500 + ... + 1761300.

Almost surely, 2^3170480400 is an apocalyptic number.

3170480400 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 3170480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680048160).

3170480400 is an abundant number, since it is smaller than the sum of its proper divisors (8189615920).

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

3170480400 is a wasteful number, since it uses less digits than its factorization.

3170480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3170480400 is about 56307.0191006414. The cubic root of 3170480400 is about 1469.0672967122.

The spelling of 3170480400 in words is "three billion, one hundred seventy million, four hundred eighty thousand, four hundred".