3401261760 has 112 divisors (see below), whose sum is σ = 11629741536. Its totient is φ = 837230592.

The previous prime is 3401261719. The next prime is 3401261761. The reversal of 3401261760 is 671621043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3401261761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123789 + ... + 148748.

It is an arithmetic number, because the mean of its divisors is an integer number (103836978).

Almost surely, 2^3401261760 is an apocalyptic number.

3401261760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3401261760 is an abundant number, since it is smaller than the sum of its proper divisors (8228479776).

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

3401261760 is a wasteful number, since it uses less digits than its factorization.

3401261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272570 (or 272560 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3401261760 is about 58320.3374475834. The cubic root of 3401261760 is about 1503.8805831699.

The spelling of 3401261760 in words is "three billion, four hundred one million, two hundred sixty-one thousand, seven hundred sixty".