3751259040 has 336 divisors, whose sum is σ = 13758028200. Its totient is φ = 964970496.

The previous prime is 3751259027. The next prime is 3751259041. The reversal of 3751259040 is 409521573.

It can be written as a sum of positive squares in 4 ways, for example, as 1894338576 + 1856920464 = 43524^2 + 43092^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3751258986 and 3751259004.

It is not an unprimeable number, because it can be changed into a prime (3751259041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3382006 + ... + 3383114.

Almost surely, 2^3751259040 is an apocalyptic number.

3751259040 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 3751259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879014100).

3751259040 is an abundant number, since it is smaller than the sum of its proper divisors (10006769160).

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

3751259040 is a wasteful number, since it uses less digits than its factorization.

3751259040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3751259040 is about 61247.5227254131. The cubic root of 3751259040 is about 1553.7901059668.

The spelling of 3751259040 in words is "three billion, seven hundred fifty-one million, two hundred fifty-nine thousand, forty".