3472096320 has 896 divisors, whose sum is σ = 16222187520. Its totient is φ = 676823040.

The previous prime is 3472096301. The next prime is 3472096403. The reversal of 3472096320 is 236902743.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11309607 + ... + 11309913.

It is an arithmetic number, because the mean of its divisors is an integer number (18105120).

Almost surely, 2^3472096320 is an apocalyptic number.

3472096320 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 3472096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111093760).

3472096320 is an abundant number, since it is smaller than the sum of its proper divisors (12750091200).

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

3472096320 is a wasteful number, since it uses less digits than its factorization.

3472096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3472096320 is about 58924.4967734133. The cubic root of 3472096320 is about 1514.2488581106.

The spelling of 3472096320 in words is "three billion, four hundred seventy-two million, ninety-six thousand, three hundred twenty".