3423407616 has 120 divisors (see below), whose sum is σ = 9913287384. Its totient is φ = 1137315840.

The previous prime is 3423407609. The next prime is 3423407677. The reversal of 3423407616 is 6167043243.

It is a happy number.

3423407616 is a `hidden beast` number, since 3 + 4 + 2 + 34 + 0 + 7 + 616 = 666.

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 11 ways as a sum of consecutive naturals, for example, 1597906 + ... + 1600046.

Almost surely, 2^3423407616 is an apocalyptic number.

3423407616 is a gapful number since it is divisible by the number (36) 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 3423407616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956643692).

3423407616 is an abundant number, since it is smaller than the sum of its proper divisors (6489879768).

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

3423407616 is a wasteful number, since it uses less digits than its factorization.

3423407616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3423407616 is about 58509.8933172844. The cubic root of 3423407616 is about 1507.1374823623.

The spelling of 3423407616 in words is "three billion, four hundred twenty-three million, four hundred seven thousand, six hundred sixteen".