3366778000 has 80 divisors (see below), whose sum is σ = 8361076464. Its totient is φ = 1310284800.

The previous prime is 3366777983. The next prime is 3366778007. The reversal of 3366778000 is 8776633.

It can be written as a sum of positive squares in 8 ways, for example, as 950858896 + 2415919104 = 30836^2 + 49152^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3366778000² = 22670388202568000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3366778007) 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, 51252 + ... + 96748.

Almost surely, 2^3366778000 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 3366778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180538232).

3366778000 is an abundant number, since it is smaller than the sum of its proper divisors (4994298464).

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

3366778000 is a wasteful number, since it uses less digits than its factorization.

3366778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45557 (or 45541 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 3366778000 is about 58023.9433337652. The cubic root of 3366778000 is about 1498.7809354487.

The spelling of 3366778000 in words is "three billion, three hundred sixty-six million, seven hundred seventy-eight thousand".