3760204032 has 540 divisors, whose sum is σ = 12899183220. Its totient is φ = 1086898176.

The previous prime is 3760204031. The next prime is 3760204051. The reversal of 3760204032 is 2304020673.

It can be written as a sum of positive squares in 6 ways, for example, as 84934656 + 3675269376 = 9216^2 + 60624^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3760203987 and 3760204005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3760204031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 101627118 + ... + 101627154.

Almost surely, 2^3760204032 is an apocalyptic number.

3760204032 is a gapful number since it is divisible by the number (32) 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 3760204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449591610).

3760204032 is an abundant number, since it is smaller than the sum of its proper divisors (9138979188).

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

3760204032 is a wasteful number, since it uses less digits than its factorization.

3760204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3760204032 is about 61320.5025419720. The cubic root of 3760204032 is about 1555.0241456396.

The spelling of 3760204032 in words is "three billion, seven hundred sixty million, two hundred four thousand, thirty-two".