335645640 has 256 divisors, whose sum is σ = 1285632000. Its totient is φ = 77034240.

The previous prime is 335645627. The next prime is 335645657. The reversal of 335645640 is 46546533.

335645640 is a `hidden beast` number, since 3 + 3 + 5 + 6 + 4 + 5 + 640 = 666.

It is a super-2 number, since 2×335645640² = 225315991302019200, 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 = 335645595 and 335645604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224977 + ... + 226463.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2^335645640 is an apocalyptic number.

335645640 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 335645640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816000).

335645640 is an abundant number, since it is smaller than the sum of its proper divisors (949986360).

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

335645640 is a wasteful number, since it uses less digits than its factorization.

335645640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 335645640 is about 18320.6342684963. The cubic root of 335645640 is about 694.9608452313.

It can be divided in two parts, 33564 and 5640, that added together give a square (39204 = 198²).

The spelling of 335645640 in words is "three hundred thirty-five million, six hundred forty-five thousand, six hundred forty".