3402920160 has 240 divisors, whose sum is σ = 12102274800. Its totient is φ = 900440064.

The previous prime is 3402920149. The next prime is 3402920177. The reversal of 3402920160 is 610292043.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1800496 + ... + 1802384.

It is an arithmetic number, because the mean of its divisors is an integer number (50426145).

Almost surely, 2^3402920160 is an apocalyptic number.

3402920160 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 3402920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051137400).

3402920160 is an abundant number, since it is smaller than the sum of its proper divisors (8699354640).

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

3402920160 is a wasteful number, since it uses less digits than its factorization.

3402920160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3402920160 is about 58334.5537396147. The cubic root of 3402920160 is about 1504.1249660386.

The spelling of 3402920160 in words is "three billion, four hundred two million, nine hundred twenty thousand, one hundred sixty".