3420738332640 has 288 divisors, whose sum is σ = 12817710228960. Its totient is φ = 858538082304.

The previous prime is 3420738332591. The next prime is 3420738332689. The reversal of 3420738332640 is 462338370243.

3420738332640 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 7 + 383 + 3 + 264 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3420738332591) and next prime (3420738332689).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1926745 + ... + 3248664.

It is an arithmetic number, because the mean of its divisors is an integer number (44505938295).

Almost surely, 2^{3420738332640} is an apocalyptic number.

3420738332640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420738332640 is an abundant number, since it is smaller than the sum of its proper divisors (9396971896320).

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

3420738332640 is a wasteful number, since it uses less digits than its factorization.

3420738332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175456 (or 5175436 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 3420738332640 in words is "three trillion, four hundred twenty billion, seven hundred thirty-eight million, three hundred thirty-two thousand, six hundred forty".