3768107040 has 480 divisors, whose sum is σ = 14015586816. Its totient is φ = 952197120.

The previous prime is 3768107029. The next prime is 3768107087. The reversal of 3768107040 is 407018673.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3768106986 and 3768107004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33346024 + ... + 33346136.

Almost surely, 2^3768107040 is an apocalyptic number.

3768107040 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 3768107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007793408).

3768107040 is an abundant number, since it is smaller than the sum of its proper divisors (10247479776).

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

3768107040 is a wasteful number, since it uses less digits than its factorization.

3768107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3768107040 is about 61384.9088946135. The cubic root of 3768107040 is about 1556.1128071831.

The spelling of 3768107040 in words is "three billion, seven hundred sixty-eight million, one hundred seven thousand, forty".