3454738257600 has 3360 divisors, whose sum is σ = 16097731584000. Its totient is φ = 724250419200.

The previous prime is 3454738257589. The next prime is 3454738257601. The reversal of 3454738257600 is 67528374543.

It is a happy number.

3454738257600 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 7 + 3 + 8 + 25 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is not an unprimeable number, because it can be changed into a prime (3454738257601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 31694846346 + ... + 31694846454.

Almost surely, 2^{3454738257600} is an apocalyptic number.

3454738257600 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 3454738257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8048865792000).

3454738257600 is an abundant number, since it is smaller than the sum of its proper divisors (12642993326400).

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

3454738257600 is a wasteful number, since it uses less digits than its factorization.

3454738257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 3454738257600 in words is "three trillion, four hundred fifty-four billion, seven hundred thirty-eight million, two hundred fifty-seven thousand, six hundred".