3351479040 has 864 divisors, whose sum is σ = 14999362560. Its totient is φ = 671514624.

The previous prime is 3351479029. The next prime is 3351479071. The reversal of 3351479040 is 409741533.

3351479040 is a `hidden beast` number, since 33 + 514 + 79 + 0 + 40 = 666.

It is a super-2 number, since 2×3351479040² = 22464823511118643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3351478986 and 3351479004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24111291 + ... + 24111429.

Almost surely, 2^3351479040 is an apocalyptic number.

3351479040 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 3351479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499681280).

3351479040 is an abundant number, since it is smaller than the sum of its proper divisors (11647883520).

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

3351479040 is a wasteful number, since it uses less digits than its factorization.

3351479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3351479040 is about 57891.9600635529. The cubic root of 3351479040 is about 1496.5072869493.

The spelling of 3351479040 in words is "three billion, three hundred fifty-one million, four hundred seventy-nine thousand, forty".