3461156160 has 336 divisors, whose sum is σ = 13947526080. Its totient is φ = 719093760.

The previous prime is 3461156113. The next prime is 3461156183. The reversal of 3461156160 is 616511643.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514096 + ... + 520784.

Almost surely, 2^3461156160 is an apocalyptic number.

3461156160 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 3461156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973763040).

3461156160 is an abundant number, since it is smaller than the sum of its proper divisors (10486369920).

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

3461156160 is a wasteful number, since it uses less digits than its factorization.

3461156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3461156160 is about 58831.5915134037. The cubic root of 3461156160 is about 1512.6567791403.

The spelling of 3461156160 in words is "three billion, four hundred sixty-one million, one hundred fifty-six thousand, one hundred sixty".