3450849213672 has 640 divisors, whose sum is σ = 12098893847040. Its totient is φ = 896452116480.

The previous prime is 3450849213667. The next prime is 3450849213737. The reversal of 3450849213672 is 2763129480543.

3450849213672 is a `hidden beast` number, since 3 + 4 + 50 + 8 + 492 + 1 + 36 + 72 = 666.

3450849213672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 325638678 + ... + 325649274.

It is an arithmetic number, because the mean of its divisors is an integer number (18904521636).

It is a 1-persistent number, because it is pandigital, but 2⋅3450849213672 = 6901698427344 is not.

Almost surely, 2^{3450849213672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450849213672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049446923520).

3450849213672 is an abundant number, since it is smaller than the sum of its proper divisors (8648044633368).

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

3450849213672 is a wasteful number, since it uses less digits than its factorization.

3450849213672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10783 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3450849213672 in words is "three trillion, four hundred fifty billion, eight hundred forty-nine million, two hundred thirteen thousand, six hundred seventy-two".