3429546120 has 768 divisors, whose sum is σ = 15498362880. Its totient is φ = 634521600.

The previous prime is 3429546091. The next prime is 3429546121. The reversal of 3429546120 is 216459243.

It is a happy number.

3429546120 is a `hidden beast` number, since 34 + 2 + 9 + 5 + 4 + 612 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3429546121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11171007 + ... + 11171313.

It is an arithmetic number, because the mean of its divisors is an integer number (20180160).

Almost surely, 2^3429546120 is an apocalyptic number.

3429546120 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 3429546120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749181440).

3429546120 is an abundant number, since it is smaller than the sum of its proper divisors (12068816760).

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

3429546120 is a wasteful number, since it uses less digits than its factorization.

3429546120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 379 counting only the distinct ones).

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

The square root of 3429546120 is about 58562.3267980363. The cubic root of 3429546120 is about 1508.0377593521.

The spelling of 3429546120 in words is "three billion, four hundred twenty-nine million, five hundred forty-six thousand, one hundred twenty".