3454524564000 has 96 divisors (see below), whose sum is σ = 11317022510976. Its totient is φ = 921206547200.

The previous prime is 3454524563983. The next prime is 3454524564017. The reversal of 3454524564000 is 4654254543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3454524563983) and next prime (3454524564017).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3454524564000³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143926524 + ... + 143950523.

It is an arithmetic number, because the mean of its divisors is an integer number (117885651156).

Almost surely, 2^{3454524564000} is an apocalyptic number.

3454524564000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3454524564000 is an abundant number, since it is smaller than the sum of its proper divisors (7862497946976).

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

3454524564000 is a wasteful number, since it uses less digits than its factorization.

3454524564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287877075 (or 287877057 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 3454524564000 in words is "three trillion, four hundred fifty-four billion, five hundred twenty-four million, five hundred sixty-four thousand".