3428570880 has 864 divisors, whose sum is σ = 14945793408. Its totient is φ = 707788800.

The previous prime is 3428570879. The next prime is 3428570927. The reversal of 3428570880 is 880758243.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56206050 + ... + 56206110.

It is an arithmetic number, because the mean of its divisors is an integer number (17298372).

Almost surely, 2^3428570880 is an apocalyptic number.

3428570880 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 3428570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472896704).

3428570880 is an abundant number, since it is smaller than the sum of its proper divisors (11517222528).

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

3428570880 is a wasteful number, since it uses less digits than its factorization.

3428570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3428570880 is about 58553.9996925915. Note that the first 3 decimals coincide. The cubic root of 3428570880 is about 1507.8948018372.

The spelling of 3428570880 in words is "three billion, four hundred twenty-eight million, five hundred seventy thousand, eight hundred eighty".