3355464240 has 120 divisors (see below), whose sum is σ = 11404738800. Its totient is φ = 883994112.

The previous prime is 3355464191. The next prime is 3355464241. The reversal of 3355464240 is 424645533.

3355464240 is a `hidden beast` number, since 3 + 3 + 5 + 5 + 4 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×3355464240³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 3355464195 and 3355464204.

It is not an unprimeable number, because it can be changed into a prime (3355464241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31686 + ... + 87834.

It is an arithmetic number, because the mean of its divisors is an integer number (95039490).

Almost surely, 2^3355464240 is an apocalyptic number.

3355464240 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 3355464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702369400).

3355464240 is an abundant number, since it is smaller than the sum of its proper divisors (8049274560).

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

3355464240 is a wasteful number, since it uses less digits than its factorization.

3355464240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56251 (or 56242 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3355464240 is about 57926.3691249503. The cubic root of 3355464240 is about 1497.1002110953.

The spelling of 3355464240 in words is "three billion, three hundred fifty-five million, four hundred sixty-four thousand, two hundred forty".