3390789024 has 216 divisors, whose sum is σ = 11274691428. Its totient is φ = 963809280.

The previous prime is 3390789023. The next prime is 3390789029. The reversal of 3390789024 is 4209870933.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3027200400 + 363588624 = 55020^2 + 19068^2 .

It is a super-2 number, since 2×3390789024² = 22994900410557745152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3390789023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3400494 + ... + 3401490.

Almost surely, 2^3390789024 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 3390789024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637345714).

3390789024 is an abundant number, since it is smaller than the sum of its proper divisors (7883902404).

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

3390789024 is a wasteful number, since it uses less digits than its factorization.

3390789024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3390789024 is about 58230.4819145437. The cubic root of 3390789024 is about 1502.3354764792.

The spelling of 3390789024 in words is "three billion, three hundred ninety million, seven hundred eighty-nine thousand, twenty-four".