3678124032 has 192 divisors, whose sum is σ = 11887948800. Its totient is φ = 1114398720.

The previous prime is 3678124003. The next prime is 3678124039. The reversal of 3678124032 is 2304218763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678124039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605233 + ... + 611279.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 2^3678124032 is an apocalyptic number.

3678124032 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 3678124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

3678124032 is an abundant number, since it is smaller than the sum of its proper divisors (8209824768).

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

3678124032 is a wasteful number, since it uses less digits than its factorization.

3678124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3678124032 is about 60647.5393730034. The cubic root of 3678124032 is about 1543.6261365825.

The spelling of 3678124032 in words is "three billion, six hundred seventy-eight million, one hundred twenty-four thousand, thirty-two".