3456539280 has 480 divisors, whose sum is σ = 13161657600. Its totient is φ = 807763968.

The previous prime is 3456539279. The next prime is 3456539309. The reversal of 3456539280 is 829356543.

3456539280 is a `hidden beast` number, since 3 + 4 + 565 + 3 + 9 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20697757 + ... + 20697923.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 2^3456539280 is an apocalyptic number.

3456539280 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 3456539280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580828800).

3456539280 is an abundant number, since it is smaller than the sum of its proper divisors (9705118320).

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

3456539280 is a wasteful number, since it uses less digits than its factorization.

3456539280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3456539280 is about 58792.3403174257. The cubic root of 3456539280 is about 1511.9838958560.

The spelling of 3456539280 in words is "three billion, four hundred fifty-six million, five hundred thirty-nine thousand, two hundred eighty".