3400864320 has 224 divisors, whose sum is σ = 12391070976. Its totient is φ = 774144000.

The previous prime is 3400864301. The next prime is 3400864333. The reversal of 3400864320 is 234680043.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1887420 + ... + 1889220.

Almost surely, 2^3400864320 is an apocalyptic number.

3400864320 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 3400864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195535488).

3400864320 is an abundant number, since it is smaller than the sum of its proper divisors (8990206656).

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

3400864320 is a wasteful number, since it uses less digits than its factorization.

3400864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3400864320 is about 58316.9299603468. The cubic root of 3400864320 is about 1503.8220043617.

The spelling of 3400864320 in words is "three billion, four hundred million, eight hundred sixty-four thousand, three hundred twenty".