3372777408 has 672 divisors, whose sum is σ = 12842565120. Its totient is φ = 766402560.

The previous prime is 3372777391. The next prime is 3372777409. The reversal of 3372777408 is 8047772733.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3372777408² = 22751254887830396928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3372777409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30942858 + ... + 30942966.

It is an arithmetic number, because the mean of its divisors is an integer number (19110960).

Almost surely, 2^3372777408 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 3372777408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421282560).

3372777408 is an abundant number, since it is smaller than the sum of its proper divisors (9469787712).

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

3372777408 is a wasteful number, since it uses less digits than its factorization.

3372777408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 48.

The square root of 3372777408 is about 58075.6180165136. The cubic root of 3372777408 is about 1499.6706548042.

The spelling of 3372777408 in words is "three billion, three hundred seventy-two million, seven hundred seventy-seven thousand, four hundred eight".