3351487625640 has 2880 divisors, whose sum is σ = 15892674336000. Its totient is φ = 617829949440.

The previous prime is 3351487625599. The next prime is 3351487625663. The reversal of 3351487625640 is 465267841533.

3351487625640 is a `hidden beast` number, since 3 + 3 + 5 + 1 + 4 + 8 + 7 + 625 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×3351487625640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 16841646261 + ... + 16841646459.

It is an arithmetic number, because the mean of its divisors is an integer number (5518289700).

Almost surely, 2^{3351487625640} is an apocalyptic number.

3351487625640 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 3351487625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946337168000).

3351487625640 is an abundant number, since it is smaller than the sum of its proper divisors (12541186710360).

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

3351487625640 is a wasteful number, since it uses less digits than its factorization.

3351487625640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3351487625640 in words is "three trillion, three hundred fifty-one billion, four hundred eighty-seven million, six hundred twenty-five thousand, six hundred forty".