3480757539840 has 2112 divisors, whose sum is σ = 15411933089280. Its totient is φ = 740205527040.

The previous prime is 3480757539761. The next prime is 3480757539841. The reversal of 3480757539840 is 489357570843.

3480757539840 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 7 + 57 + 539 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480757539841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19230704550 + ... + 19230704730.

Almost surely, 2^{3480757539840} is an apocalyptic number.

3480757539840 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 3480757539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705966544640).

3480757539840 is an abundant number, since it is smaller than the sum of its proper divisors (11931175549440).

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

3480757539840 is a wasteful number, since it uses less digits than its factorization.

3480757539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 3480757539840 in words is "three trillion, four hundred eighty billion, seven hundred fifty-seven million, five hundred thirty-nine thousand, eight hundred forty".