3401153280 has 576 divisors, whose sum is σ = 14622612480. Its totient is φ = 730791936.

The previous prime is 3401153233. The next prime is 3401153299. The reversal of 3401153280 is 823511043.

It is a happy number.

3401153280 is a `hidden beast` number, since 3 + 40 + 11 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112227 + ... + 4113053.

It is an arithmetic number, because the mean of its divisors is an integer number (25386480).

Almost surely, 2^3401153280 is an apocalyptic number.

3401153280 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 3401153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311306240).

3401153280 is an abundant number, since it is smaller than the sum of its proper divisors (11221459200).

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

3401153280 is a wasteful number, since it uses less digits than its factorization.

3401153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3401153280 is about 58319.4074043967. The cubic root of 3401153280 is about 1503.8645947209.

The spelling of 3401153280 in words is "three billion, four hundred one million, one hundred fifty-three thousand, two hundred eighty".