3755435400 has 240 divisors, whose sum is σ = 13611628800. Its totient is φ = 957813120.

The previous prime is 3755435399. The next prime is 3755435477. The reversal of 3755435400 is 45345573.

3755435400 is a `hidden beast` number, since 3 + 75 + 5 + 43 + 540 + 0 = 666.

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 367561 + ... + 377639.

It is an arithmetic number, because the mean of its divisors is an integer number (56715120).

Almost surely, 2^3755435400 is an apocalyptic number.

3755435400 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 3755435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805814400).

3755435400 is an abundant number, since it is smaller than the sum of its proper divisors (9856193400).

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

3755435400 is a wasteful number, since it uses less digits than its factorization.

3755435400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10130 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 3755435400 is about 61281.6073548989. The cubic root of 3755435400 is about 1554.3665151209.

The spelling of 3755435400 in words is "three billion, seven hundred fifty-five million, four hundred thirty-five thousand, four hundred".