3481035264000 has 1872 divisors, whose sum is σ = 15164698925376. Its totient is φ = 794271744000.

The previous prime is 3481035263971. The next prime is 3481035264037. The reversal of 3481035264000 is 4625301843.

3481035264000 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 0 + 3 + 5 + 2 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6096383715 + ... + 6096384285.

It is an arithmetic number, because the mean of its divisors is an integer number (8100800708).

Almost surely, 2^{3481035264000} is an apocalyptic number.

3481035264000 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 3481035264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582349462688).

3481035264000 is an abundant number, since it is smaller than the sum of its proper divisors (11683663661376).

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

3481035264000 is an frugal number, since it uses more digits than its factorization.

3481035264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3481035264000 in words is "three trillion, four hundred eighty-one billion, thirty-five million, two hundred sixty-four thousand".