3761249760 has 72 divisors (see below), whose sum is σ = 12835269720. Its totient is φ = 1002999552.

The previous prime is 3761249707. The next prime is 3761249771. The reversal of 3761249760 is 679421673.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×3761249760³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1304550 + ... + 1307429.

It is an arithmetic number, because the mean of its divisors is an integer number (178267635).

Almost surely, 2^3761249760 is an apocalyptic number.

3761249760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3761249760 is an abundant number, since it is smaller than the sum of its proper divisors (9074019960).

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

3761249760 is a wasteful number, since it uses less digits than its factorization.

3761249760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612000 (or 2611989 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3761249760 is about 61329.0286895203. The cubic root of 3761249760 is about 1555.1682851202.

The spelling of 3761249760 in words is "three billion, seven hundred sixty-one million, two hundred forty-nine thousand, seven hundred sixty".