3457101984625 has 16 divisors (see below), whose sum is σ = 4406260375296. Its totient is φ = 2706837294000.

The previous prime is 3457101984619. The next prime is 3457101984631. The reversal of 3457101984625 is 5264891017543.

It is an interprime number because it is at equal distance from previous prime (3457101984619) and next prime (3457101984631).

It is not a de Polignac number, because 3457101984625 - 2⁵ = 3457101984593 is a prime.

It is a super-2 number, since 2×3457101984625² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

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, 294215571 + ... + 294227320.

It is an arithmetic number, because the mean of its divisors is an integer number (275391273456).

It is a 1-persistent number, because it is pandigital, but 2⋅3457101984625 = 6914203969250 is not.

Almost surely, 2^{3457101984625} is an apocalyptic number.

It is an amenable number.

3457101984625 is a deficient number, since it is larger than the sum of its proper divisors (949158390671).

3457101984625 is an equidigital number, since it uses as much as digits as its factorization.

3457101984625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588442953 (or 588442943 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 3457101984625 in words is "three trillion, four hundred fifty-seven billion, one hundred one million, nine hundred eighty-four thousand, six hundred twenty-five".