3412429056 has 81 divisors (see below), whose sum is σ = 9846965401. Its totient is φ = 1136541696.

The previous prime is 3412429003. The next prime is 3412429103. The reversal of 3412429056 is 6509242143.

It is a happy number.

The square root of 3412429056 is 58416.

It is a perfect power (a square), and thus also a powerful number.

3412429056 is a `hidden beast` number, since 341 + 24 + 290 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1145145600 + 2267283456 = 33840^2 + 47616^2 .

It is a super-2 number, since 2×3412429056² = 23289344124466102272, which contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3412429056.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2803360 + ... + 2804576.

Almost surely, 2^3412429056 is an apocalyptic number.

3412429056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3412429056 is the 58416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412429056

3412429056 is an abundant number, since it is smaller than the sum of its proper divisors (6434536345).

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

3412429056 is an frugal number, since it uses more digits than its factorization.

3412429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 3412429056 is about 1505.5246723489.

Multiplying 3412429056 by its sum of digits (36), we get a square (122847446016 = 350496²).

3412429056 divided by its sum of digits (36) gives a square (94789696 = 9736²).

The spelling of 3412429056 in words is "three billion, four hundred twelve million, four hundred twenty-nine thousand, fifty-six".