3749819238025 has 81 divisors (see below), whose sum is σ = 5505117003477. Its totient is φ = 2526363604800.

The previous prime is 3749819238017. The next prime is 3749819238031. The reversal of 3749819238025 is 5208329189473.

The square root of 3749819238025 is 1936445.

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 1727234663049 + 2022584574976 = 1314243^2 + 1422176^2 .

It is not a de Polignac number, because 3749819238025 - 2³ = 3749819238017 is a prime.

It is a super-2 number, since 2×3749819238025² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4134309622 + ... + 4134310528.

Almost surely, 2^{3749819238025} is an apocalyptic number.

3749819238025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3749819238025 is the 1936445-th square number.

3749819238025 is the 968223-rd centered octagonal number.

It is an amenable number.

3749819238025 is a deficient number, since it is larger than the sum of its proper divisors (1755297765452).

3749819238025 is an frugal number, since it uses more digits than its factorization.

3749819238025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 3749819238025 in words is "three trillion, seven hundred forty-nine billion, eight hundred nineteen million, two hundred thirty-eight thousand, twenty-five".