3454997337792 has 336 divisors, whose sum is σ = 13296507124992. Its totient is φ = 828370851840.

The previous prime is 3454997337787. The next prime is 3454997337797. The reversal of 3454997337792 is 2977337994543.

It is a happy number.

3454997337792 is a `hidden beast` number, since 3 + 4 + 549 + 9 + 7 + 3 + 3 + 7 + 79 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3454997337787) and next prime (3454997337797).

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 (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3454997337792.

It is not an unprimeable number, because it can be changed into a prime (3454997337797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419558 + ... + 3572709.

It is an arithmetic number, because the mean of its divisors is an integer number (39572937872).

Almost surely, 2^{3454997337792} is an apocalyptic number.

3454997337792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3454997337792 is an abundant number, since it is smaller than the sum of its proper divisors (9841509787200).

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

3454997337792 is a wasteful number, since it uses less digits than its factorization.

3454997337792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992316 (or 5992303 counting only the distinct ones).

The product of its digits is 1080203040, while the sum is 72.

The spelling of 3454997337792 in words is "three trillion, four hundred fifty-four billion, nine hundred ninety-seven million, three hundred thirty-seven thousand, seven hundred ninety-two".