3428045494272 has 1008 divisors, whose sum is σ = 12221392790880. Its totient is φ = 957640900608.

The previous prime is 3428045494261. The next prime is 3428045494297. The reversal of 3428045494272 is 2724945408243.

3428045494272 is a `hidden beast` number, since 3 + 4 + 2 + 80 + 4 + 5 + 494 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3438360078 + ... + 3438361074.

It is an arithmetic number, because the mean of its divisors is an integer number (12124397610).

Almost surely, 2^{3428045494272} is an apocalyptic number.

3428045494272 is a gapful number since it is divisible by the number (32) 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 3428045494272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110696395440).

3428045494272 is an abundant number, since it is smaller than the sum of its proper divisors (8793347296608).

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

3428045494272 is an frugal number, since it uses more digits than its factorization.

3428045494272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 3428045494272 in words is "three trillion, four hundred twenty-eight billion, forty-five million, four hundred ninety-four thousand, two hundred seventy-two".