3765437952 has 80 divisors (see below), whose sum is σ = 10377393840. Its totient is φ = 1211850752.

The previous prime is 3765437911. The next prime is 3765437959. The reversal of 3765437952 is 2597345673.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3765437895 and 3765437904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3765437959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2278 + ... + 86810.

It is an arithmetic number, because the mean of its divisors is an integer number (129717423).

Almost surely, 2^3765437952 is an apocalyptic number.

3765437952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3765437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188696920).

3765437952 is an abundant number, since it is smaller than the sum of its proper divisors (6611955888).

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

3765437952 is an equidigital number, since it uses as much as digits as its factorization.

3765437952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84583 (or 84567 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 51.

The square root of 3765437952 is about 61363.1644555592. The cubic root of 3765437952 is about 1555.7453031967.

The spelling of 3765437952 in words is "three billion, seven hundred sixty-five million, four hundred thirty-seven thousand, nine hundred fifty-two".