3761000880 has 480 divisors, whose sum is σ = 14849924544. Its totient is φ = 780337152.

The previous prime is 3761000869. The next prime is 3761000909. The reversal of 3761000880 is 880001673.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11160072 + ... + 11160408.

Almost surely, 2^3761000880 is an apocalyptic number.

3761000880 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 3761000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424962272).

3761000880 is an abundant number, since it is smaller than the sum of its proper divisors (11088923664).

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

3761000880 is a wasteful number, since it uses less digits than its factorization.

3761000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 3761000880 is about 61326.9996005022. Note that the first 3 decimals coincide. The cubic root of 3761000880 is about 1555.1339827965.

The spelling of 3761000880 in words is "three billion, seven hundred sixty-one million, eight hundred eighty", and thus it is an aban number.