3369794400 has 1440 divisors, whose sum is σ = 16333954560. Its totient is φ = 656916480.

The previous prime is 3369794399. The next prime is 3369794411. The reversal of 3369794400 is 44979633.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3369794400² = 22711028596542720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 146512789 + ... + 146512811.

It is an arithmetic number, because the mean of its divisors is an integer number (11343024).

Almost surely, 2^3369794400 is an apocalyptic number.

3369794400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3369794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8166977280).

3369794400 is an abundant number, since it is smaller than the sum of its proper divisors (12964160160).

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

3369794400 is a wasteful number, since it uses less digits than its factorization.

3369794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3369794400 is about 58049.9302325162. The cubic root of 3369794400 is about 1499.2284031603.

The spelling of 3369794400 in words is "three billion, three hundred sixty-nine million, seven hundred ninety-four thousand, four hundred".