3418951680 has 364 divisors, whose sum is σ = 12354812940. Its totient is φ = 907739136.

The previous prime is 3418951667. The next prime is 3418951727. The reversal of 3418951680 is 861598143.

It can be written as a sum of positive squares in 2 ways, for example, as 2341011456 + 1077940224 = 48384^2 + 32832^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929806 + ... + 14930034.

Almost surely, 2^3418951680 is an apocalyptic number.

3418951680 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 3418951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177406470).

3418951680 is an abundant number, since it is smaller than the sum of its proper divisors (8935861260).

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

3418951680 is an frugal number, since it uses more digits than its factorization.

3418951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 3418951680 is about 58471.8024350199. The cubic root of 3418951680 is about 1506.4832975297.

The spelling of 3418951680 in words is "three billion, four hundred eighteen million, nine hundred fifty-one thousand, six hundred eighty".