3761865240 has 192 divisors, whose sum is σ = 13164975360. Its totient is φ = 857445120.

The previous prime is 3761865229. The next prime is 3761865319. The reversal of 3761865240 is 425681673.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3761865192 and 3761865201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2886429 + ... + 2887731.

It is an arithmetic number, because the mean of its divisors is an integer number (68567580).

Almost surely, 2^3761865240 is an apocalyptic number.

3761865240 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 3761865240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582487680).

3761865240 is an abundant number, since it is smaller than the sum of its proper divisors (9403110120).

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

3761865240 is a wasteful number, since it uses less digits than its factorization.

3761865240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3761865240 is about 61334.0463364354. The cubic root of 3761865240 is about 1555.2531082359.

The spelling of 3761865240 in words is "three billion, seven hundred sixty-one million, eight hundred sixty-five thousand, two hundred forty".