3758539698432 has 360 divisors, whose sum is σ = 12029175047736. Its totient is φ = 1162989010944.

The previous prime is 3758539698341. The next prime is 3758539698439. The reversal of 3758539698432 is 2348969358573.

3758539698432 is a `hidden beast` number, since 3 + 7 + 5 + 8 + 539 + 6 + 9 + 84 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1180125904896 + 2578413793536 = 1086336^2 + 1605744^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3758539698439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25660348 + ... + 25806404.

Almost surely, 2^{3758539698432} is an apocalyptic number.

3758539698432 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 3758539698432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014587523868).

3758539698432 is an abundant number, since it is smaller than the sum of its proper divisors (8270635349304).

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

3758539698432 is a wasteful number, since it uses less digits than its factorization.

3758539698432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146175 (or 146152 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 3758539698432 in words is "three trillion, seven hundred fifty-eight billion, five hundred thirty-nine million, six hundred ninety-eight thousand, four hundred thirty-two".