3735450432 has 168 divisors, whose sum is σ = 12690140736. Its totient is φ = 1067240448.

The previous prime is 3735450391. The next prime is 3735450461. The reversal of 3735450432 is 2340545373.

3735450432 is a `hidden beast` number, since 3 + 73 + 54 + 504 + 32 = 666.

3735450432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91708 + ... + 126020.

It is an arithmetic number, because the mean of its divisors is an integer number (75536552).

Almost surely, 2^3735450432 is an apocalyptic number.

3735450432 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 3735450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345070368).

3735450432 is an abundant number, since it is smaller than the sum of its proper divisors (8954690304).

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

3735450432 is an equidigital number, since it uses as much as digits as its factorization.

3735450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34347 (or 34325 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The square root of 3735450432 is about 61118.3313908356. The cubic root of 3735450432 is about 1551.6043647360.

The spelling of 3735450432 in words is "three billion, seven hundred thirty-five million, four hundred fifty thousand, four hundred thirty-two".