3764744880 has 240 divisors, whose sum is σ = 13144429536. Its totient is φ = 886026240.

The previous prime is 3764744861. The next prime is 3764744899. The reversal of 3764744880 is 884474673.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3764744861) and next prime (3764744899).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3764744880² = 28346608022972428800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649340 + ... + 1651620.

Almost surely, 2^3764744880 is an apocalyptic number.

3764744880 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 3764744880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572214768).

3764744880 is an abundant number, since it is smaller than the sum of its proper divisors (9379684656).

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

3764744880 is a wasteful number, since it uses less digits than its factorization.

3764744880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The square root of 3764744880 is about 61357.5168989098. The cubic root of 3764744880 is about 1555.6498464235.

The spelling of 3764744880 in words is "three billion, seven hundred sixty-four million, seven hundred forty-four thousand, eight hundred eighty".