3429390510 has 192 divisors, whose sum is σ = 11271641472. Its totient is φ = 703945728.

The previous prime is 3429390487. The next prime is 3429390571. The reversal of 3429390510 is 150939243.

It is a happy number.

3429390510 is a `hidden beast` number, since 34 + 29 + 3 + 90 + 510 = 666.

It is a congruent number.

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, 297372 + ... + 308688.

It is an arithmetic number, because the mean of its divisors is an integer number (58706466).

Almost surely, 2^3429390510 is an apocalyptic number.

3429390510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429390510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635820736).

3429390510 is an abundant number, since it is smaller than the sum of its proper divisors (7842250962).

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

3429390510 is a wasteful number, since it uses less digits than its factorization.

3429390510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11387 (or 11384 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3429390510 is about 58560.9981984597. The cubic root of 3429390510 is about 1508.0149507649.

The spelling of 3429390510 in words is "three billion, four hundred twenty-nine million, three hundred ninety thousand, five hundred ten".