3701987643025 has 27 divisors (see below), whose sum is σ = 5340025437201. Its totient is φ = 2538459635040.

The previous prime is 3701987642993. The next prime is 3701987643031. The reversal of 3701987643025 is 5203467891073.

The square root of 3701987643025 is 1924055.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 174622858641 + 3527364784384 = 417879^2 + 1878128^2 .

It is not a de Polignac number, because 3701987643025 - 2⁵ = 3701987642993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67314439 + ... + 67369411.

It is a 1-persistent number, because it is pandigital, but 2⋅3701987643025 = 7403975286050 is not.

Almost surely, 2^{3701987643025} is an apocalyptic number.

3701987643025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3701987643025 is the 1924055-th square number.

3701987643025 is the 962028-th centered octagonal number.

It is an amenable number.

3701987643025 is a deficient number, since it is larger than the sum of its proper divisors (1638037794176).

3701987643025 is an frugal number, since it uses more digits than its factorization.

3701987643025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109970 (or 54985 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 3701987643025 in words is "three trillion, seven hundred one billion, nine hundred eighty-seven million, six hundred forty-three thousand, twenty-five".