3400773600 has 288 divisors, whose sum is σ = 12995168256. Its totient is φ = 756172800.

The previous prime is 3400773569. The next prime is 3400773611. The reversal of 3400773600 is 63770043.

It is a super-2 number, since 2×3400773600² = 23130522156913920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618865 + ... + 624335.

It is an arithmetic number, because the mean of its divisors is an integer number (45122112).

Almost surely, 2^3400773600 is an apocalyptic number.

3400773600 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 3400773600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497584128).

3400773600 is an abundant number, since it is smaller than the sum of its proper divisors (9594394656).

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

3400773600 is a wasteful number, since it uses less digits than its factorization.

3400773600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 3400773600 is about 58316.1521364364. The cubic root of 3400773600 is about 1503.8086324722.

The spelling of 3400773600 in words is "three billion, four hundred million, seven hundred seventy-three thousand, six hundred".