3758859120 has 320 divisors, whose sum is σ = 12897460224. Its totient is φ = 901447680.

The previous prime is 3758859113. The next prime is 3758859161. The reversal of 3758859120 is 219588573.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3758859120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14292109 + ... + 14292371.

Almost surely, 2^3758859120 is an apocalyptic number.

3758859120 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 3758859120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448730112).

3758859120 is an abundant number, since it is smaller than the sum of its proper divisors (9138601104).

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

3758859120 is a wasteful number, since it uses less digits than its factorization.

3758859120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 3758859120 is about 61309.5353105861. The cubic root of 3758859120 is about 1554.8387283940.

The spelling of 3758859120 in words is "three billion, seven hundred fifty-eight million, eight hundred fifty-nine thousand, one hundred twenty".