3472933160400 has 240 divisors, whose sum is σ = 12152779553280. Its totient is φ = 840781555200.

The previous prime is 3472933160387. The next prime is 3472933160407. The reversal of 3472933160400 is 40613392743.

It is a happy number.

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

It is a super-2 number, since 2×3472933160400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3472933160407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9576789 + ... + 9932811.

It is an arithmetic number, because the mean of its divisors is an integer number (50636581472).

Almost surely, 2^{3472933160400} is an apocalyptic number.

3472933160400 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 3472933160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076389776640).

3472933160400 is an abundant number, since it is smaller than the sum of its proper divisors (8679846392880).

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

3472933160400 is a wasteful number, since it uses less digits than its factorization.

3472933160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356794 (or 356783 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 3472933160400 in words is "three trillion, four hundred seventy-two billion, nine hundred thirty-three million, one hundred sixty thousand, four hundred".