3414002688 has 352 divisors, whose sum is σ = 10912966400. Its totient is φ = 1051066368.

The previous prime is 3414002687. The next prime is 3414002693. The reversal of 3414002688 is 8862004143.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414002687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35195856 + ... + 35195952.

Almost surely, 2^3414002688 is an apocalyptic number.

3414002688 is a gapful number since it is divisible by the number (38) 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 3414002688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456483200).

3414002688 is an abundant number, since it is smaller than the sum of its proper divisors (7498963712).

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

3414002688 is a wasteful number, since it uses less digits than its factorization.

3414002688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3414002688 is about 58429.4676340629. The cubic root of 3414002688 is about 1505.7560595984.

The spelling of 3414002688 in words is "three billion, four hundred fourteen million, two thousand, six hundred eighty-eight".