3434216940 has 1008 divisors, whose sum is σ = 15071857920. Its totient is φ = 646652160.

The previous prime is 3434216939. The next prime is 3434216957. The reversal of 3434216940 is 496124343.

It is a happy number.

3434216940 is a `hidden beast` number, since 3 + 434 + 216 + 9 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3434216895 and 3434216904.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 149313769 + ... + 149313791.

It is an arithmetic number, because the mean of its divisors is an integer number (14952240).

Almost surely, 2^3434216940 is an apocalyptic number.

3434216940 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 3434216940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535928960).

3434216940 is an abundant number, since it is smaller than the sum of its proper divisors (11637640980).

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

3434216940 is a wasteful number, since it uses less digits than its factorization.

3434216940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3434216940 is about 58602.1922798115. The cubic root of 3434216940 is about 1508.7220654164.

The spelling of 3434216940 in words is "three billion, four hundred thirty-four million, two hundred sixteen thousand, nine hundred forty".