3453647598240 has 384 divisors, whose sum is σ = 12890333675520. Its totient is φ = 760599244800.

The previous prime is 3453647598229. The next prime is 3453647598257. The reversal of 3453647598240 is 428957463543.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23780245 + ... + 23925035.

It is an arithmetic number, because the mean of its divisors is an integer number (33568577280).

Almost surely, 2^{3453647598240} is an apocalyptic number.

3453647598240 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 3453647598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445166837760).

3453647598240 is an abundant number, since it is smaller than the sum of its proper divisors (9436686077280).

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

3453647598240 is a wasteful number, since it uses less digits than its factorization.

3453647598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145076 (or 145068 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 3453647598240 in words is "three trillion, four hundred fifty-three billion, six hundred forty-seven million, five hundred ninety-eight thousand, two hundred forty".