3690414432 has 120 divisors (see below), whose sum is σ = 11084695776. Its totient is φ = 1203925248.

The previous prime is 3690414421. The next prime is 3690414439. The reversal of 3690414432 is 2344140963.

It is a happy number.

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 (3690414439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106678 + ... + 136970.

Almost surely, 2^3690414432 is an apocalyptic number.

3690414432 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 3690414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542347888).

3690414432 is an abundant number, since it is smaller than the sum of its proper divisors (7394281344).

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

3690414432 is a wasteful number, since it uses less digits than its factorization.

3690414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30362 (or 30345 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3690414432 is about 60748.7813211096. The cubic root of 3690414432 is about 1545.3435601322.

The spelling of 3690414432 in words is "three billion, six hundred ninety million, four hundred fourteen thousand, four hundred thirty-two".