3354007776 has 96 divisors (see below), whose sum is σ = 10200008448. Its totient is φ = 945146880.

The previous prime is 3354007771. The next prime is 3354007817. The reversal of 3354007776 is 6777004533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3354007776² = 22498736322936932352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354007771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14871 + ... + 83241.

It is an arithmetic number, because the mean of its divisors is an integer number (106250088).

Almost surely, 2^3354007776 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 3354007776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100004224).

3354007776 is an abundant number, since it is smaller than the sum of its proper divisors (6846000672).

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

3354007776 is a wasteful number, since it uses less digits than its factorization.

3354007776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68464 (or 68456 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 42.

The square root of 3354007776 is about 57913.7960765827. The cubic root of 3354007776 is about 1496.8835706182.

The spelling of 3354007776 in words is "three billion, three hundred fifty-four million, seven thousand, seven hundred seventy-six".