3362534640 has 320 divisors, whose sum is σ = 12154222080. Its totient is φ = 853493760.

The previous prime is 3362534603. The next prime is 3362534647. The reversal of 3362534640 is 464352633.

3362534640 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 5 + 3 + 4 + 640 = 666.

It is a super-2 number, since 2×3362534640² = 22613278410399859200, 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 = 3362534595 and 3362534604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362534647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3807639 + ... + 3808521.

It is an arithmetic number, because the mean of its divisors is an integer number (37981944).

Almost surely, 2^3362534640 is an apocalyptic number.

3362534640 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 3362534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077111040).

3362534640 is an abundant number, since it is smaller than the sum of its proper divisors (8791687440).

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

3362534640 is a wasteful number, since it uses less digits than its factorization.

3362534640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3362534640 is about 57987.3662102358. The cubic root of 3362534640 is about 1498.1510017401.

It can be divided in two parts, 33625 and 34640, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 3362534640 in words is "three billion, three hundred sixty-two million, five hundred thirty-four thousand, six hundred forty".