3769367040 has 120 divisors (see below), whose sum is σ = 13054457988. Its totient is φ = 1005158400.

The previous prime is 3769367033. The next prime is 3769367047. The reversal of 3769367040 is 407639673.

It is an interprime number because it is at equal distance from previous prime (3769367033) and next prime (3769367047).

It can be written as a sum of positive squares in 2 ways, for example, as 3768977664 + 389376 = 61392^2 + 624^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (3769367047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58761 + ... + 104840.

Almost surely, 2^3769367040 is an apocalyptic number.

3769367040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3769367040 is an abundant number, since it is smaller than the sum of its proper divisors (9285090948).

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

3769367040 is a wasteful number, since it uses less digits than its factorization.

3769367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163630 (or 163611 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 3769367040 is about 61395.1711456202. The cubic root of 3769367040 is about 1556.2862349912.

The spelling of 3769367040 in words is "three billion, seven hundred sixty-nine million, three hundred sixty-seven thousand, forty".