3787985280 has 128 divisors (see below), whose sum is σ = 12156156000. Its totient is φ = 1003274240.

The previous prime is 3787985251. The next prime is 3787985309. The reversal of 3787985280 is 825897873.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3787985251) and next prime (3787985309).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3787985280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279460 + ... + 292700.

Almost surely, 2^3787985280 is an apocalyptic number.

3787985280 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 3787985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078078000).

3787985280 is an abundant number, since it is smaller than the sum of its proper divisors (8368170720).

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

3787985280 is a wasteful number, since it uses less digits than its factorization.

3787985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13412 (or 13400 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The square root of 3787985280 is about 61546.6106296683. The cubic root of 3787985280 is about 1558.8443775443.

The spelling of 3787985280 in words is "three billion, seven hundred eighty-seven million, nine hundred eighty-five thousand, two hundred eighty".