3546358251840 has 784 divisors, whose sum is σ = 13091380900752. Its totient is φ = 913926094848.

The previous prime is 3546358251797. The next prime is 3546358251881. The reversal of 3546358251840 is 481528536453.

3546358251840 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 3 + 5 + 82 + 518 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 450391316544 + 3095966935296 = 671112^2 + 1759536^2 .

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1355122212 + ... + 1355124828.

Almost surely, 2^{3546358251840} is an apocalyptic number.

3546358251840 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 3546358251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545690450376).

3546358251840 is an abundant number, since it is smaller than the sum of its proper divisors (9545022648912).

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

3546358251840 is a wasteful number, since it uses less digits than its factorization.

3546358251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 3546358251840 in words is "three trillion, five hundred forty-six billion, three hundred fifty-eight million, two hundred fifty-one thousand, eight hundred forty".