3416980896 has 288 divisors, whose sum is σ = 11869260480. Its totient is φ = 953068032.

The previous prime is 3416980873. The next prime is 3416980913. The reversal of 3416980896 is 6980896143.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1819510 + ... + 1821386.

It is an arithmetic number, because the mean of its divisors is an integer number (41212710).

Almost surely, 2^3416980896 is an apocalyptic number.

3416980896 is a gapful number since it is divisible by the number (36) 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 3416980896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934630240).

3416980896 is an abundant number, since it is smaller than the sum of its proper divisors (8452279584).

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

3416980896 is a wasteful number, since it uses less digits than its factorization.

3416980896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3416980896 is about 58454.9475750342. The cubic root of 3416980896 is about 1506.1937815120.

The spelling of 3416980896 in words is "three billion, four hundred sixteen million, nine hundred eighty thousand, eight hundred ninety-six".