3432628080 has 480 divisors, whose sum is σ = 13808830464. Its totient is φ = 747823104.

The previous prime is 3432628039. The next prime is 3432628081. The reversal of 3432628080 is 808262343.

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 (3432628081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10185672 + ... + 10186008.

Almost surely, 2^3432628080 is an apocalyptic number.

3432628080 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 3432628080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904415232).

3432628080 is an abundant number, since it is smaller than the sum of its proper divisors (10376202384).

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

3432628080 is a wasteful number, since it uses less digits than its factorization.

3432628080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3432628080 is about 58588.6343926875. The cubic root of 3432628080 is about 1508.4893565765.

The spelling of 3432628080 in words is "three billion, four hundred thirty-two million, six hundred twenty-eight thousand, eighty".