3761544960 has 288 divisors, whose sum is σ = 13782773760. Its totient is φ = 970444800.

The previous prime is 3761544923. The next prime is 3761544973. The reversal of 3761544960 is 694451673.

3761544960 is a `hidden beast` number, since 3 + 7 + 6 + 154 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3761544960² = 28298440972202803200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069605 + ... + 1073115.

Almost surely, 2^3761544960 is an apocalyptic number.

3761544960 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 3761544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891386880).

3761544960 is an abundant number, since it is smaller than the sum of its proper divisors (10021228800).

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

3761544960 is a wasteful number, since it uses less digits than its factorization.

3761544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3761544960 is about 61331.4353329514. The cubic root of 3761544960 is about 1555.2089696175.

The spelling of 3761544960 in words is "three billion, seven hundred sixty-one million, five hundred forty-four thousand, nine hundred sixty".