3293400384 has 98 divisors (see below), whose sum is σ = 9798668490. Its totient is φ = 1097784576.

The previous prime is 3293400373. The next prime is 3293400421. The reversal of 3293400384 is 4830043923.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2468102400 + 825297984 = 49680^2 + 28728^2 .

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 13 ways as a sum of consecutive naturals, for example, 11362 + ... + 81950.

Almost surely, 2^3293400384 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 3293400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899334245).

3293400384 is an abundant number, since it is smaller than the sum of its proper divisors (6505268106).

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

3293400384 is an frugal number, since it uses more digits than its factorization.

3293400384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70619 (or 70594 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3293400384 is about 57388.1554329811. The cubic root of 3293400384 is about 1487.8124113157.

The spelling of 3293400384 in words is "three billion, two hundred ninety-three million, four hundred thousand, three hundred eighty-four".