3364057440 has 96 divisors (see below), whose sum is σ = 11774216160. Its totient is φ = 897080832.

The previous prime is 3364057429. The next prime is 3364057451. The reversal of 3364057440 is 447504633.

It is a happy number.

3364057440 is a `hidden beast` number, since 3 + 3 + 6 + 40 + 574 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3364057429) and next prime (3364057451).

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

It is a super-2 number, since 2×3364057440² = 22633764919238707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3364057395 and 3364057404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385039 + ... + 393678.

It is an arithmetic number, because the mean of its divisors is an integer number (122648085).

Almost surely, 2^3364057440 is an apocalyptic number.

3364057440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3364057440 is an abundant number, since it is smaller than the sum of its proper divisors (8410158720).

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

3364057440 is a wasteful number, since it uses less digits than its factorization.

3364057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778741 (or 778727 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3364057440 is about 58000.4951703001. The cubic root of 3364057440 is about 1498.3771248173.

The spelling of 3364057440 in words is "three billion, three hundred sixty-four million, fifty-seven thousand, four hundred forty".