3755260080 has 240 divisors, whose sum is σ = 14816614176. Its totient is φ = 840314880.

The previous prime is 3755260031. The next prime is 3755260081. The reversal of 3755260080 is 800625573.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (3755260081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84724 + ... + 121196.

Almost surely, 2^3755260080 is an apocalyptic number.

3755260080 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 3755260080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408307088).

3755260080 is an abundant number, since it is smaller than the sum of its proper divisors (11061354096).

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

3755260080 is a wasteful number, since it uses less digits than its factorization.

3755260080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36516 (or 36507 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3755260080 is about 61280.1768926951. The cubic root of 3755260080 is about 1554.3423265560.

The spelling of 3755260080 in words is "three billion, seven hundred fifty-five million, two hundred sixty thousand, eighty".