3429713196 has 288 divisors, whose sum is σ = 11074871808. Its totient is φ = 870912000.

The previous prime is 3429713191. The next prime is 3429713197. The reversal of 3429713196 is 6913179243.

3429713196 is a `hidden beast` number, since 3 + 429 + 7 + 131 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3429713191) 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, 13664071 + ... + 13664321.

It is an arithmetic number, because the mean of its divisors is an integer number (38454416).

Almost surely, 2^3429713196 is an apocalyptic number.

3429713196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3429713196 is the 31304-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429713196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537435904).

3429713196 is an abundant number, since it is smaller than the sum of its proper divisors (7645158612).

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

3429713196 is a wasteful number, since it uses less digits than its factorization.

3429713196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 416 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3429713196 is about 58563.7532608695. The cubic root of 3429713196 is about 1508.0622478040.

The spelling of 3429713196 in words is "three billion, four hundred twenty-nine million, seven hundred thirteen thousand, one hundred ninety-six".