3547986973440 has 1152 divisors, whose sum is σ = 14238296002560. Its totient is φ = 737434533888.

The previous prime is 3547986973357. The next prime is 3547986973457. The reversal of 3547986973440 is 443796897453.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4311040869 + ... + 4311041691.

Almost surely, 2^{3547986973440} is an apocalyptic number.

3547986973440 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 3547986973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7119148001280).

3547986973440 is an abundant number, since it is smaller than the sum of its proper divisors (10690309029120).

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

3547986973440 is an equidigital number, since it uses as much as digits as its factorization.

3547986973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 69.

The spelling of 3547986973440 in words is "three trillion, five hundred forty-seven billion, nine hundred eighty-six million, nine hundred seventy-three thousand, four hundred forty".