3429223925220 has 288 divisors, whose sum is σ = 10820308402176. Its totient is φ = 878151456000.

The previous prime is 3429223925203. The next prime is 3429223925263. The reversal of 3429223925220 is 225293229243.

3429223925220 is a `hidden beast` number, since 3 + 4 + 2 + 92 + 2 + 39 + 2 + 522 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1118102127 + ... + 1118105193.

Almost surely, 2^{3429223925220} is an apocalyptic number.

3429223925220 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 3429223925220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410154201088).

3429223925220 is an abundant number, since it is smaller than the sum of its proper divisors (7391084476956).

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

3429223925220 is a wasteful number, since it uses less digits than its factorization.

3429223925220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3429223925220 in words is "three trillion, four hundred twenty-nine billion, two hundred twenty-three million, nine hundred twenty-five thousand, two hundred twenty".