3406261248 has 330 divisors, whose sum is σ = 11059719924. Its totient is φ = 1048080384.

The previous prime is 3406261247. The next prime is 3406261333. The reversal of 3406261248 is 8421626043.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3406261248 is a `hidden beast` number, since 3 + 4 + 0 + 626 + 1 + 24 + 8 = 666.

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (3406261241) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 262020090 + ... + 262020102.

Almost surely, 2^3406261248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529859962).

3406261248 is an abundant number, since it is smaller than the sum of its proper divisors (7653458676).

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

3406261248 is an frugal number, since it uses more digits than its factorization.

3406261248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3406261248 is about 58363.1840118409. The cubic root of 3406261248 is about 1504.6170698626.

The spelling of 3406261248 in words is "three billion, four hundred six million, two hundred sixty-one thousand, two hundred forty-eight".