342268416 has 280 divisors, whose sum is σ = 1180754784. Its totient is φ = 97044480.

The previous prime is 342268403. The next prime is 342268439. The reversal of 342268416 is 614862243.

It is a super-2 number, since 2×342268416² = 234295337182298112, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2612671 + ... + 2612801.

Almost surely, 2^342268416 is an apocalyptic number.

342268416 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 342268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590377392).

342268416 is an abundant number, since it is smaller than the sum of its proper divisors (838486368).

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

342268416 is an frugal number, since it uses more digits than its factorization.

342268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

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

The square root of 342268416 is about 18500.4977230344. The cubic root of 342268416 is about 699.5019695588.

The spelling of 342268416 in words is "three hundred forty-two million, two hundred sixty-eight thousand, four hundred sixteen".