3769233840 has 120 divisors (see below), whose sum is σ = 12679643808. Its totient is φ = 1003438080.

The previous prime is 3769233827. The next prime is 3769233869. The reversal of 3769233840 is 483329673.

3769233840 is a `hidden beast` number, since 376 + 9 + 233 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3769233840² = 28414247481202291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457437 + ... + 465603.

Almost surely, 2^3769233840 is an apocalyptic number.

3769233840 is a gapful number since it is divisible by the number (30) 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 3769233840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339821904).

3769233840 is an abundant number, since it is smaller than the sum of its proper divisors (8910409968).

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

3769233840 is a wasteful number, since it uses less digits than its factorization.

3769233840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3769233840 is about 61394.0863601699. The cubic root of 3769233840 is about 1556.2679030214.

The spelling of 3769233840 in words is "three billion, seven hundred sixty-nine million, two hundred thirty-three thousand, eight hundred forty".