3152429280 has 960 divisors, whose sum is σ = 14999136768. Its totient is φ = 604661760.

The previous prime is 3152429257. The next prime is 3152429303. The reversal of 3152429280 is 829242513.

It is a happy number.

3152429280 is a `hidden beast` number, since 3 + 152 + 429 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3152429257) and next prime (3152429303).

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 159 ways as a sum of consecutive naturals, for example, 242494554 + ... + 242494566.

Almost surely, 2^3152429280 is an apocalyptic number.

3152429280 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 3152429280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499568384).

3152429280 is an abundant number, since it is smaller than the sum of its proper divisors (11846707488).

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

3152429280 is an equidigital number, since it uses as much as digits as its factorization.

3152429280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3152429280 is about 56146.4983770137. The cubic root of 3152429280 is about 1466.2739453576.

The spelling of 3152429280 in words is "three billion, one hundred fifty-two million, four hundred twenty-nine thousand, two hundred eighty".