3761835840 has 1008 divisors, whose sum is σ = 16803745920. Its totient is φ = 766402560.

The previous prime is 3761835839. The next prime is 3761835877. The reversal of 3761835840 is 485381673.

3761835840 is a `hidden beast` number, since 3 + 7 + 61 + 8 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 61669410 + ... + 61669470.

Almost surely, 2^3761835840 is an apocalyptic number.

3761835840 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 3761835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401872960).

3761835840 is an abundant number, since it is smaller than the sum of its proper divisors (13041910080).

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

3761835840 is a wasteful number, since it uses less digits than its factorization.

3761835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3761835840 is about 61333.8066648402. The cubic root of 3761835840 is about 1555.2490566500.

The spelling of 3761835840 in words is "three billion, seven hundred sixty-one million, eight hundred thirty-five thousand, eight hundred forty".