3418492896 has 288 divisors, whose sum is σ = 12410431488. Its totient is φ = 901393920.

The previous prime is 3418492879. The next prime is 3418492897. The reversal of 3418492896 is 6982948143.

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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3418492897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705201 + ... + 710031.

It is an arithmetic number, because the mean of its divisors is an integer number (43091776).

Almost surely, 2^3418492896 is an apocalyptic number.

3418492896 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 3418492896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205215744).

3418492896 is an abundant number, since it is smaller than the sum of its proper divisors (8991938592).

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

3418492896 is a wasteful number, since it uses less digits than its factorization.

3418492896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4856 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 3418492896 is about 58467.8791816498. The cubic root of 3418492896 is about 1506.4159102704.

The spelling of 3418492896 in words is "three billion, four hundred eighteen million, four hundred ninety-two thousand, eight hundred ninety-six".