3758653440 has 192 divisors, whose sum is σ = 13034911500. Its totient is φ = 1001914368.

The previous prime is 3758653433. The next prime is 3758653447. The reversal of 3758653440 is 443568573.

3758653440 is a `hidden beast` number, since 3 + 75 + 8 + 6 + 534 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3758653433) and next prime (3758653447).

It can be written as a sum of positive squares in 2 ways, for example, as 3634642944 + 124010496 = 60288^2 + 11136^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3758653447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1473286 + ... + 1475834.

Almost surely, 2^3758653440 is an apocalyptic number.

3758653440 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 3758653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517455750).

3758653440 is an abundant number, since it is smaller than the sum of its proper divisors (9276258060).

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

3758653440 is an equidigital number, since it uses as much as digits as its factorization.

3758653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 3758653440 is about 61307.8578976627. The cubic root of 3758653440 is about 1554.8103682761.

The spelling of 3758653440 in words is "three billion, seven hundred fifty-eight million, six hundred fifty-three thousand, four hundred forty".