3351650400 has 504 divisors, whose sum is σ = 14037320304. Its totient is φ = 765158400.

The previous prime is 3351650371. The next prime is 3351650431. The reversal of 3351650400 is 40561533.

3351650400 is a `hidden beast` number, since 3 + 3 + 5 + 1 + 650 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3351650400² = 22467120807640320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4081990 + ... + 4082810.

It is an arithmetic number, because the mean of its divisors is an integer number (27851826).

Almost surely, 2^3351650400 is an apocalyptic number.

3351650400 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 3351650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018660152).

3351650400 is an abundant number, since it is smaller than the sum of its proper divisors (10685669904).

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

3351650400 is an equidigital number, since it uses as much as digits as its factorization.

3351650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3351650400 is about 57893.4400428926. The cubic root of 3351650400 is about 1496.5327918199.

The spelling of 3351650400 in words is "three billion, three hundred fifty-one million, six hundred fifty thousand, four hundred".