3401121312 has 72 divisors (see below), whose sum is σ = 10030181616. Its totient is φ = 1133704512.

The previous prime is 3401121293. The next prime is 3401121323. The reversal of 3401121312 is 2131211043.

3401121312 is a `hidden beast` number, since 340 + 1 + 12 + 1 + 312 = 666.

3401121312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210918 + ... + 226469.

It is an arithmetic number, because the mean of its divisors is an integer number (139308078).

Almost surely, 2^3401121312 is an apocalyptic number.

3401121312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3401121312 is an abundant number, since it is smaller than the sum of its proper divisors (6629060304).

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

3401121312 is an equidigital number, since it uses as much as digits as its factorization.

3401121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437412 (or 437392 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3401121312 is about 58319.1333268937. The cubic root of 3401121312 is about 1503.8598830158.

Adding to 3401121312 its reverse (2131211043), we get a palindrome (5532332355).

The spelling of 3401121312 in words is "three billion, four hundred one million, one hundred twenty-one thousand, three hundred twelve".