3437779968 has 440 divisors, whose sum is σ = 12174311424. Its totient is φ = 945561600.

The previous prime is 3437779951. The next prime is 3437779979. The reversal of 3437779968 is 8699777343.

It is a super-2 number, since 2×3437779968² = 23636662216764162048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17998753 + ... + 17998943.

Almost surely, 2^3437779968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3437779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087155712).

3437779968 is an abundant number, since it is smaller than the sum of its proper divisors (8736531456).

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

3437779968 is a wasteful number, since it uses less digits than its factorization.

3437779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The square root of 3437779968 is about 58632.5845243070. The cubic root of 3437779968 is about 1509.2436555436.

The spelling of 3437779968 in words is "three billion, four hundred thirty-seven million, seven hundred seventy-nine thousand, nine hundred sixty-eight".