3414852900 has 324 divisors, whose sum is σ = 11986090480. Its totient is φ = 810777600.

The previous prime is 3414852899. The next prime is 3414852913. The reversal of 3414852900 is 92584143.

3414852900 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×3414852900² = 23322440657276820000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4941555 + ... + 4942245.

Almost surely, 2^3414852900 is an apocalyptic number.

3414852900 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 3414852900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993045240).

3414852900 is an abundant number, since it is smaller than the sum of its proper divisors (8571237580).

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

3414852900 is a wasteful number, since it uses less digits than its factorization.

3414852900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3414852900 is about 58436.7427223660. The cubic root of 3414852900 is about 1505.8810454024.

The spelling of 3414852900 in words is "three billion, four hundred fourteen million, eight hundred fifty-two thousand, nine hundred".