3675928087441 has 45 divisors (see below), whose sum is σ = 3999851705291. Its totient is φ = 3378200825664.

The previous prime is 3675928087427. The next prime is 3675928087457. The reversal of 3675928087441 is 1447808295763.

The square root of 3675928087441 is 1917271.

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

It can be written as a sum of positive squares in only one way, i.e., 64772795025 + 3611155292416 = 254505^2 + 1900304^2 .

It is not a de Polignac number, because 3675928087441 - 2⁷ = 3675928087313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3675928087411) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32530337001 + ... + 32530337113.

It is a 1-persistent number, because it is pandigital, but 2⋅3675928087441 = 7351856174882 is not.

Almost surely, 2^{3675928087441} is an apocalyptic number.

3675928087441 is the 1917271-st square number.

3675928087441 is the 958636-th centered octagonal number.

It is an amenable number.

3675928087441 is a deficient number, since it is larger than the sum of its proper divisors (323923617850).

3675928087441 is an frugal number, since it uses more digits than its factorization.

3675928087441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

Multiplying 3675928087441 by its sum of digits (64), we get a square (235259397596224 = 15338168²).

The spelling of 3675928087441 in words is "three trillion, six hundred seventy-five billion, nine hundred twenty-eight million, eighty-seven thousand, four hundred forty-one".