3540908971656 has 160 divisors (see below), whose sum is σ = 11417392419840. Its totient is φ = 1004303515392.

The previous prime is 3540908971651. The next prime is 3540908971661. The reversal of 3540908971656 is 6561798090453.

3540908971656 is a `hidden beast` number, since 3 + 540 + 9 + 0 + 89 + 7 + 1 + 6 + 5 + 6 = 666.

3540908971656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3540908971651) and next prime (3540908971661).

It is a super-2 number, since 2×3540908971656² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3540908971593 and 3540908971602.

It is not an unprimeable number, because it can be changed into a prime (3540908971651) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2227560 + ... + 3470423.

It is an arithmetic number, because the mean of its divisors is an integer number (71358702624).

Almost surely, 2^{3540908971656} is an apocalyptic number.

3540908971656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3540908971656 is an abundant number, since it is smaller than the sum of its proper divisors (7876483448184).

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

3540908971656 is a wasteful number, since it uses less digits than its factorization.

3540908971656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698145 (or 5698132 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 3540908971656 in words is "three trillion, five hundred forty billion, nine hundred eight million, nine hundred seventy-one thousand, six hundred fifty-six".